Sometimes adult children refuse to leave home, and sometimes they unfortunately develop behavioral or substance abuse problems or become violent. If you have made the difficult decision to evict your adult child, it would be possible. But it depends on the circumstances under which he came to live there.
If he's lived there his whole life then you cannot use the eviction courts to evict him. You have to bring an action in ejectment in New York State Supreme Court instead of an eviction proceeding in district court.
But if your son has not living there his entire life, for example if he moved out, but recently moved back in as an adult after living someplace else, then he can most likely be evicted either as a tenant or a licensee depending on the circumstances.