Not terminate but from my understanding you can withhold rent if it has been a persistent issue. However, if you are not letting pest control come to your house for whatever reason then you have no ground to stand on because you are actively denying the "solution". I don't know what you're allergic to when it comes to pest as nothing that can be used for mice would cause an allergic reaction unless you come with direct contact which even then wouldn't do anything to you. Plus, any of the "repellents" rarely ever work. You're talking about an animal that can live in trash and is highly adaptable.

Unfortunately, this is going to go one of two ways. You let pest control do what needs to be done in your apartment or you continue living with the mice.