In other cases, I do believe believe men and women can be friends without fooling around, but your question was "with no desire at all." To me, this seems unlikely if not impossible, especially if you're talking about close friends, those who spend a lot of time together.
But that isn't to say that those feelings can't be managed or that those friendships shouldn't exist. You'd really be missing out if you excluded half the population from your list of potential friends.
I believe a man and a woman can be friends. They can be friends, without any romance or sexual desires. Friends are important, in a persons life. Male companionship is wonderful and having a friend, that understands you in great.
Yes! In high school my best friend was a guy. It was nice to have someone to go out with if neither one of us had a date for Saturday night. Also, he could give me advise about guys and what to do or not do.