Yes, but there might be a higher deposit requirement.
In the grand scheme of things, broken lease are not that bad. When someone breaks a lease, we normally just keep the deposit and call it a day so if that’s all you have, and it wasn’t a long string of recent broken leases, we might not even change the deposit amount.
Evictions are a bit worse. In that case, it means someone not only didn’t pay, but they wouldn’t leave and the owner had to go to court to have them forcefully removed. Depending on how many and how old, the deposit will likely be at least 1.5x months rent.