Kegerator....Ferm and Serve???

So I’m thinking of purchasing a dual tap kegerator.  For the sake of space in my apartment… is it possible to ferment a Carboy AND have a corny keg serving.  I know major temperature different but with a ferm wrap could it keep the carboy warm enough while also being cold enough to serve?

I would guess the fermwrap would warm up the entire kegerator.

I suppose you could do a lager ferment, no D-rest, no cold crash, no cold lagering.  However, separate chambers are ideal.