I assume he is supplied with nutrients via a tube and cannot swallow, so probably not. And even if, he would not get to taste it :(
You can definitely still experience alcohol. There was a GQ article about Richard Norris, recipient of a face transplant, who went to the store and got himself some Wild Turkey which he ingested via a tube to his stomach.
> He reaches into the brown bag, pulls out a bottle of Wild Turkey. [...] "For my throat," he says. He can’t take over-the-counter medications, he says. Too risky with his meds. There’s a backpack at his feet. He opens it, pulls out some tubing and a wide syringe, about a half-inch across, the kind you use to give medicine to horses. [...] He hooks the syringe to the tubing, lifts up his shirt. [...] He opens the Wild Turkey and starts pouring.
Edit: seems his requests could have been conceded through his feeding tube:
"The first message was a simple thanks to Birbaumer and the rest of the team. Other messages related to the man's care preferences: asking for a head massage or for more gel on his eye (which was prone to dryness) and requesting a higher head position when visitors were present. He even made suggestions for improving the performance of the spelling system.
Eventually, he could make specific dietary requests for his feeding tube: soup with meat, sweet pea soup, and curry with potato. And he did request a beer and for his caretakers to play his favorite band, Tool, very loud."
Unfortunately he's locked-in because of progressive muscle atrophy, so recovery isn't likely.