Is it normal to be possessed by her energy and haunted by her in thoughts?

I'm not really sorry if I can't explain the issue correctly or if I'm getting off the track. The whole thing is confusing me a lot and I don't know how to put it simply and directly.

So, there's that girl. I usually have seen her at school, but we never talk. The reason for that is that I'm usually a prick around her friends. They can't stand my ways and intentions and I can't stand their "originalities", so it's double-sided. I wouldn't say that I find these show-offs utterly disgusting and deeply would hate them or something. I'm simply annoyed and try to avoid them completely if possible. If this option is not given I'm merely sarcastic and trying to behave cold-hearted and badass around them. I simply can't deal with such people in any other way. I wasn't raised in a way where preposterous behavior is tolerated, it was quite the opposite. Words like "fun" don't exist in my dictionary as they are existing in theirs and being close is something awkward and worth avoiding.

She has all the rights and reasons to avoid and dislike me though I never wanted her to. I somehow could sense her all the times we've met by chance (such things as destiny don't exist) and I don't have to swear that things were different each time. I can't explain what happens with me then but I'm doing things of which I know, even at these moments, that I would never do when I would be on my own. It's hard to describe. I'm not talking nonsense or wearing my clothes the wrong way round or any other cliché love bullshit. It's not a profound stroke of eternal happiness or whatever. It certainly creeps me out. Like, when you have two hearts beating in one person of which one desires to be with this girl/young woman and the other being an old, sadistic, unfeeling, strict, persistent asshole wanted to sort of use her for anything.
So, on one hand, I found it reasonable to avoid her too, as for her own safety since I can't guarantee anything, but I simply can't ignore her. As if I was looped, bound to a radius of about 20 meters only. Something, without any words, always draws me back. Does that even make any sense?
And can't I just do my work? No, coincidence wants my thoughts to wander abroad and to wish her by my side just when personnel knocks on my door to inform me that a girl awaits my presence and is in need of help for her friends.