That's quite possible. You DO have a common look.
I don't even remember.
Yes, never to be spoken of again.
Where do you pull them from for your list?
It is possible. Seems, though, the natural progression of attraction to one another typically ends up in sex at one time or another.
Unless the two are attracted to each other from a distance. OR they've established they're attracted to each other, but there are other barriers of sorts keeping them from being able to act on their attraction.
But, yes, friends of opposite gender is totally possible and happens all the time.