I know some cars have chilled glove boxes, but I would never consider putting a fridge in the dash (even if my car had a glove box). You would have to disassemble basically the entire dashboard then fabricate everything, and make sure it didn't leak cold air onto your passengers legs. You're best bet would be to put a 12V cigarette lighter powered fridge in one of the trunks.
James Bond's chilled champagne glove box is pretty awesome, but unless you can get Q to install it, it will probably be too expensive to be worth it.
