Not so, even though they are both socialistic models there are differences.
Under Communism the means of production (land, machinery, buildings, raw materials, and yes even workers) all belong to the state. The economy is controlled by central planners who are members of the political apparatus governing the entire collective. (China under Mao, pre culturalo revelotion)
Under Fascism private ownership is allowed and a limited form of capitalism is permitted. Central planning replaces free markets and the economy is top down directed by the government. (Post Mao China)
Regards,
GtG
PS The US is currently being "nudged" toward fascism and is displaying some of the characteristic failures of "central planning" by our "stalled" economy.
As long as they determine that it benefits the State. But there is no concept of property rights under Fascism, the government might temporarily allow you the benefits of ownership, but it could take it away at the drop of a hat. China most closely fits your definition of "Fascism."