Does giving a guy your number imply that you're interested?

I guess it depends on what you want, and how "liberated" you are.

Back before texting was a thing, I had a girl I knew give me a folded slip of paper in a nightclub with her number and "call me when you are horny" written on it. I found that incredibly refreshing (and quite a turn on).

Yes I did, yes we did, and while (sadly) she turned out to be quite the little stalker, she sticks in my mind as the most up front "proposal" I've had to date.