Yes and no. In theory, if you used Deionized (or distilled) water and let it dry - no problem.
The catch - the mouse is a closed compartment - which will let water in, and trap it very well.
Dip it if you must (in the DI / Distilled) - and if it's got a tail, use some good ole fashioned centrifugal force to remove the bulk of the water. Follow with some shaking, and finally put it into a ziploc bag with some desiccant or dry rice - and let it bake in the sun for a couple of days.