Yes, that is possible, but you have to extend one of the drivers, and make some changes, because the standard driver will have collisions. For example, both use the same variables to store the login state.
There are also some changes in the way you have to use Auth in your code, as all static calls (like Auth::login(), Auth::login(), etc) assume your app has a single login system. Instead, you'll have to forge both instances, and then use the instance in your code: