Yes. If Obama keeps his distance, makes some speeches in closed rooms, earns millions and “acts ex-presidential” then the media can continue to call him the “smartest man in the world”.
But if Obama tries to go toe-to-toe with President Trump, he will embarrass himself quickly. That makes it harder for him to earn millions from speeches or glory in lavish praise from everyone in the press. People will start to call him a dumbass.
Obama might badger Trump briefly, but he will quickly realize that this is not in his best interest.
That's the $25,000 question: Does the Community Organizer have the smarts to realize he'd be fighting a losing battle? After 8 years of being told he's a god, will he know when to hang it up? Will Obama realize that even a god can bleed?