Well, I think it can happen, but here's the things

Firstly, you might not be quite as good looking as you think (this is often the case)

The other thing is that you could be super weird

The last point might sound like i'm contradicting myself, but i'm not

The thing is, the better looking you are, the weirder (less game) you can get away with having. If you are her 10/10 you'd have to be legit retarded to not have a good shot

But if she just thinks 'Yeah he's fairly handsome' that might not be enough to be able to get away with having zero game/being weird. That's probably where you fit. You're fairly good looking. But not so good looking that you can get away with being weird and stuff