The answer would depend upon the way your state criminal trespass statute is drafted. Just as an example, the statute in Illinois makes no distinction between the "owner" of the land or any other "occupant," so one could certainly commit criminal trespass in Illinois with respect to land occupied by a tenant. In general, unless there is some problem or reason to take action, the police have more important things to worry about than trespass cases.
Trespass in the second degree.
569.150. 1. A person commits the offense of trespass in the second degree if he enters unlawfully upon real property of another. This is an offense of absolute liability.
2. Trespass in the second degree is an infraction.