Of course :) I think all humans do. Though the proportion of asexuals who love being alone a lot is higher than among any other group I'd say. I do prefer to spend the majority of my time completely alone, but I couldn't deal without ANY very close relationships. My best friend and I are very close. But if you mean specifically with men...no. Just with whoever I love most. Though the idea of a romance without sex is quite appealing...but basically impossible to find. As long as I have my friends, it's not important to me.

I'm not much of a touchy person though. I like a good hug from a naturally affectionate but not needy person but I don't generally like cuddling except in special circumstances with special people.