Can my roommate enter my apartment and, move my belongings out, and into another room without my approval and while I'm not home

If he's your roommate I suppose he is allowed to be there. I don't know why he would be able to move your stuff. More information about what is going on is needed.

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Dear New York Tenant:

Did you mean your co-tenant (means you both signed the lease) or the tenant of the apartment, if you are the roommate? You meant your "room" not "apartment"?

it is called trespass unless you did not have a specific right to the room you occupied as a roommate based on a written agreement.

Perhaps you might inquire why your belongings were moved to another room?

Good luck.

The answer provided to you is in the nature of general information. The general proposition being that you should try to avoid a bad outcome if you can.

Well, if he did this while you were at home, you'd have stopped him, so presumably he *had* to do it while you were away.

Anyway, he he tell you why he did this? Did he decide that you needed to switch rooms and he's taken yours and given you his? We need more info.

I may be guessing or not licensed in your state. No atty/client relationship exists.