[Frost1x]

If you don't have a lease you can be. About every private property I step foot on I don't have a lease to, so many freedoms tied to property are null there.

If you do have a lease at a given location and it specifies an enforceable restriction that is otherwise legal under federal and state law, they can certainly evict you or often fine you as a breach of contract. This could be for a variety of things related to restrictions of freedom of speech, gun ownership, to owning a cat.

If you can't afford private property, rent, and want to say, grill a burger, good luck finding a lease that permits that. You now live with a subset of legal rights determined by private property owners. Obviously there are things that aren't tied to property... they can't detain you or harm you but they can have the police detain you.