Quite possible. But would Russia build up large and powerful islamonazi type Arab murder gangs that it then could not possibly control? Especially since Russia is itself threatened by islamonazi terrorism. They might but it sure seems a very risky activity for them.
The Soviets always controled both sides of an uprising by creating agents inviting said uprisings. Every legit Chechen knew at one point to not join in the war because they knew these militias were lead by FSB agents.
The result is that in places like France you have the left accusing the right of being pro-Putin Bichyists and the left accusing the right of being pro-Soviet traitors. It does not get any better than this.
Where are the pro-French French? There are none. Nor is there many pro-American Americans left either.
* The result is that in places like France you have the left accusing the right of being pro-Putin Vichyists and the right accusing the left of being pro-Soviet traitors. It does not get any better than this.
Russia's infiltration of Chechen "radicals" certainly supports the idea that they would and have done so for a long time! It is not new for Russia. They have been doing it from the very beginning of their history, such as by firebombing their own people during demonstrations just to blame on others; or with false-front organizations that went about recruiting dissidents only to betray them in deepest consequence later. They even published anti-soviet propaganda via these false fronts INSIDE of Russia. From Anatoliy Golitsyn, New Lies for Old, pages 13-15:
"In 1921, as the NEP was being launched, the OGPU created inside Soviet Russia a false anti-Soviet organization, the Monarchist Alliance of Central Russia. It had once been a genuine organization, founded by Czarist generals in Moscow and Leningrad but liquidated by the Soviet security service in 1919-20. Former members of this organization, among them Czarist generals and members of the old aristocracy who had come over to the Soviet side, nominally led the movement. Their new loyalty to the Soviet regime was not in doubt, for they had betrayed their former friends in the anticommunist underground. They were the Czarist generals Brusilov and Zaynchkovskiy; the Czarist military attache in Yugoslavia, General Potapov; and the Czarist transport official Yakushev. The most active agent in the Trust was a former intelligence officer of the General Staff in Czarist Russia whose many names included Opperput. Agents of the Trust traveled abroad and established confidential contact with genuine anticommunist emigre leaders in order (ostensibly) to coordinate activity against the Soviet regime.
Among the important emigres they met were Boris Savinkov and Generals Wrangel and Kutepov. These agents confided in their contacts that the anti-Soviet monarchist movement that they represented was now well established in Soviet Russia, had penetrated into the higher levels of the army, the security service, and even the government, and would in time take power and restore the monarchy. They convinced the emigre leaders that the regime had undergone a radical change. Communism had completely failed; ideology was dead; the present leaders had nothing in common with the fanatical revolutionaries of the past. They were nationalists at heart, and their regime was evolving into a moderate, national regime and might soon collapse. The NEP should be seen as the first important concession on the road to restoring capitalism in Russia. Soon political concessions would follow. Because of this, said the Trust agents, any intervention or gesture of hostility from the European powers or the emigre movements would be ill-advised, if not tragic, since it would only unite the Russian people around their government and so extend its survival. The European governments and the emigre leaders should put a stop to anti-Soviet terrorist activities and change their attitude from hostility toward the Soviet regime to one of passive acceptance. They should grant diplomatic recognition and increase trade. In this way they would have a better opportunity to contribute to the evolutionary process. The emigre leaders should return to Russia to make their contribution. Naturally there were doubters among the emigres, but the prestige of the leaders of the organization particularly, of General Brusilov) convinced the majority. They accepted at face value the Trust's disinformation and passed it on to their influential friends in the European intelligence services. By the time it had been circulated to governments as "secret" intelligence it sounded most impressive, and when as time went on the same story was confirmed by source after source, it became "secret and reliable." The intelligence services of Europe were committed and it was unthinkable that they could all be wrong.
While the Trust was thriving the OGPU took control, wholly or partially, of two other movements calculated to influence the political climate in support of the NEP. They were the "Change of Signposts" movement and the "Eurasian" movement. The first was used by the Soviet security service to mislead emigres and intellectuals in Europe into believing that the strength of communist ideology was on the wane and that the Soviet regime was evolving into a more moderate, national state. The movement published, with unofficial government assistance, a weekly magazine in Prague and Paris, The Change of Signposts, and in Berlin a paper, On the Eve. In 1922, at some risk, the Soviet government allowed two magazines to be published in Leningrad and Moscow, New Russia and Russia. They were intended to exert a similar influence on intellectuals inside the country. By 1926 all publications of the Change of Signposts movement had been wound up, the movement disbanded, and some of its leaders in the Soviet Union arrested. An official Soviet publication partially confirms the exploitation of the movement and describes its end. Shortly afterward, operation Trust was terminated with the arrest of those opponents of the regime who had been unwise enough to reveal themselves as such by associating with the Trust. To impress the Soviet people, trials of members of the opposition— some genuine, some false—were held throughout the country."
http://www.spiritoftruth.org/newlies4old.pdf
When it comes down to it, what do the Russians care if some terrorist blows up a subway in Russia or even bombs an apartment building. The FSB does this already and it doesn't bother them. Compare Golitsyn's writing here with the contents of the OP, and you'll see it's the same old story over and over again.