No. Unlocked door != legal entry. "Breaking" in B&E doesn't require any physical damage. Pushing open an unlocked door or entering a place without authorization counts. If I leave my home to go to the store, and leave the door unlocked and someone walks in, they are still committing a crime.

There are also no tenant protections for criminal intruders, squatter protections require a claim of right like a disputed lease or a holdover tenancy, or continuous possession over many years. Someone that just walks into a residence is an active trespasser and can be arrested for criminal trespass or burglary.