Yes mouse traps can be reused multiple times to catch multiple mice.
If you have the wood snap mouse traps or other snap mouse traps they can be reused multiple times until you catch all the mice or until the mouse trap breaks.
I have several of the wood mouse traps that I've used for 10 years now catching mice over and over when they are active and come into my house.
I also set mouse traps outside around the house where the mice may come into the house.
Sometimes the mice get trapped and killed before they are able to enter the house which is a good thing.
To keep mice out of your house make sure to clean up debris around your house and seal up any holes with some wire that the mice cannot get through so easily.