This fish may be out of water, but it sure looks thirsty. Can fish even get drunk off beer? Either way, it’s probably not a wise—and some would say, ethical—thing to do. A few years back there was even a short-lived fad of drinking beer from the mouths of live fish. We’d certainly discourage these kind of antics as they can’t be good for the fish.
Remember, if you intend to catch and release, try to put the fish back in the water as soon as possible. That means without treating it to an alcoholic beverage.
As to the earlier question, fish can get drunk, but apparently on greenhouse gasses.