Welcome to the forum, As I have a roadster, I haven't had that issue with the headliner, but I have seen a few threads here on the subject. it should be repairable, I'm sure someone with a coupe will respond with possible methods to fix it.

My son and I used spray contact adhesive to reattach a fallen headliner in his wife's Xterra a few years back, the headliner in the Crossfire is probably similar in construction - a fabric bonded to a more rigid layer underneath.