Oh crap. I'm getting visions of C5 Corvette doors. Same thing happens (to some). Not good.
The Corvette leather is vacuumed/glued on and there are little sealed holes on the back of the door skin. I don't know if it would be the same for the Camaro leather on the dash, and frankly I can't see a way to get behind it.
This is a how to on that process. Someone may be able to use part of the write-up to find a fix or a DIY. Good luck OP, hope this gets fixed for you!
Pedders Pace Car Package, Injen CAI, Flowmaster AT, AAC Lighting, ZL1 fascia/skirts, RKSport Ram Air hood, vented fenders, painted stripes (Gary's Customz), Honor and Valor badged (Thank you, John)