I sign a lease and the landlord signed the lease now he say he doesn't want to rent it to me, can he do that

Maybe he should have checked your references first, but if you both signed, its binding.

I sign a lease and the landlord signed the lease now he say he doesn't want to rent it to me, can he do that

Is this a trick question? Unless there is something you didn't tell us, of course not.

Are you in possession of the premises?

Did you meet the terms as outlined, was the money paid at the signing of the lease.