Nope. No guy can be great friends with a girl and not want to hit it/even get with her for a relationship.
Any guy who is best friends and doesn't want one of the two (or both) is fooling himself. Guys are slimey creatures. All we think about is sex. We CANNOT help it. There isn't a damn thing we can do to stop it.
Also, a regular guy couldn't be best friends with an ugly girl(the only way he wouldn't want to hit it). We just don't want to talk to those kinds of people.
Lots of what is said here is harsh, but it is quite true. Also, I am way less likely to be best friends with a really ugly guy, just can't take it. I've got a friend with really bad teeth and acne, and he is hard to be around he is so ugly.
Guys' interest is only peaked by a girl when the girl is attractive. We go around, we take a quick look at something, we size it up. Takes less than 5 seconds, actually most of the time it can probably be done in less than a second. Not just girls, not just people, but everything. We like to be masters of the world we live in.
OH damn.. I got way off topic there.
Answer to the original question... "No."