Should landlords be required to give a 30 day trial to new tenants before the lease is legally binding?

This question was prompted by another question about other tenants behaving badly, and no one is doing anything about it.

If, by law, landlords had to allow the tenant to live there 30 days before the lease became binding, so the potential renter can find out if there is some compelling reason not to stay, I think they’d be more prone to take action against bad tenants AND to fix things.