Can Mice and gerbils live in the cage?

Absolutely not. Gerbils are highly territorial and you cannot even introduce a lone adult to a lone adult without a splitcage. It is highly likely that the gerbil would just kill the mouse.

Cohabiting different types of rodents is never advised, and there are very, very few examples where it can be successful many of which are isolated incidents. Even where successful, the company of another species can never substitute for company of their own kind.