In canon, it's Lois and it's happened in Smallville too. Oliver too but that's usually when he's on one of his downward spirals. I don't see it happening often for either of them anymore but they have a great friendship and I can see them enjoying a rare night out to catch up.

Though even in my role reversal, Clark may be human but I still can't see him wanting to get drunk. I imagine in one of her rebellious phases, Lois tried but couldn't (yet). Now since she's still finding her way, she wouldn't want to. Maybe Jimmy Olsen on accident lol :D