I think it is possible, as long as the other person is a fairly moderate drinker. I wouldn't/couldn't get into a relationship now with someone that is getting plastered every night (I don't know how my husband put up with me for so long!) Fortunately, my husband has quit drinking to support me. He just has the 0% beers. I don't mind if he drinks again, but I wouldn't be surprised if he didn't. He can take it or leave it.
My dad (also an alcoholic) has wine and stuff in the house for dinner parties, and for when people come over. But, it's not something he could handle in the early days.....I think time helps a lot. Well - there's also the fact that he is now allergic to alcohol! Has anyone else had that? If he orders mussels, for example, and the wine in the sauce hasn't cooked out, he comes out in hives and stuff! He literally can't drink, even if he wanted to. Sorry - slightly OT!