It's definitely possible using a 3M or similar spray adhesive.

While you're waiting, why not insulate your doors/headliner, etc? It seems from the pics that they're not insulated? It makes a huge difference for heat and noise transfer.

1946 GMC Pickup - S-10 Frame, 455 Buick, TH400, original patina.

My 46 GMC on Photobucket