I voted No, and now that I think about it I'll change my answer to probably no. My vote surprises me, because I'm a feminist (and a dude). But still.
I know in my personal experience, I've never had a female friend that I havent had some sort of sexual element attached to it. Even with the ugly ones, I jokingly flirt heavily with them, and honestly after being someone's friend for a long time, a 3/10 starts to look like a 5/10.
Let's see, like Harry said to Sally, there's also this sex drive thing we all have.
More importantly, I think that with a really close friendship love eventually blooms. Now this love is the sort of love you have with your family, but the mind can easily confuse that with sexual love.
I feel like it might be possible for men and women to be just friends if they're old and past their sexually driven years, and completely unattracted to each other.
Ryôji Kaji from Neon Genesis Evangelion: The Kanji we use for the word "she" a woman far away. To us men, women will always appear to be on the shore across. It means there is a river deeper and wider than the ocean that divides men and women.