Can a man and woman be friends?

Sleeping on an airbed in your ex-boyfriend's spare bedroom will do wonders for self-discovery. In fact, just being around your ex in a non-sexual way will do wonders for said self-discovery.

Last night we watched When Harry Met Sally and at some point, this inevitable dialogue ensued...

Me: Are we friends?
Him: Sure. Although it's not like me with my guy friends and you with your girlfriends.
Me: More intimate.
Him: Yeah.
Me: I mostly don't want to sleep with you.
Him: Errr....