Maybe, if you make the body so that it has a cap on it like Gibson do with their Les Pauls then you could route chambers in the body and then cover them with the cap, the body of my LP Studio has had chambers cut into the Mahogany wood before the Maple cap was glued on, it didn't seem to affect the tone at all, just reduced the weight.
Maybe that's an idea for new Pitbull kits, will make a post in the new PBG kits ideas thread.