Do girls want guys to try harder to get to know them?

I would trust your instincts on this one. Girls might sometimes make up a partner as a gentle rejection. Or they might have a partner, although then the question remains would they be romantically interested in you if they didn’t. In any events it doesn’t seem like there’s anything immediately on the cards so worth exploring other options

So theres this girl I see every day and I feel like shes into me but I have not had much interactions with her - I was finding it hard to talk to her and this one time I randomly told her that I was interested in her - she said shes with someone. Do girls say this when they dont know a guy well enough but can still be interested in them and want them to try harder to get to know them?

No. This means she isn't interested at all and doesn't want you to try further.

But I have been trying and shes still friendly and polite and I really hope that I can get with her because shes just very friendly. Maybe im overthinking but I feel like shes playing hard to get.

Weve already agreed that we see each other regularly and theres no need for things to be awkward. Past couple of years ive spent too much time online hence why my interactions with her have been so tactless - should I tell her this?

she said shes with someone. Do girls say this when they dont know a guy well enough but can still be interested in them and want them to try harder to get to know them?

You're obviously a god to women so why wouldn't she not want to be with you

Honestly if she's a reasonably decent looking girl or better then she won't be short of guys after her. If in addition she has a pleasant and friendly enough personality then that will add to interest from guys. Such a girl like that might well have a bf.

But when I told her I was interested in her I was thinking I dont even know her well enough but it was worth a shot. I still want to get in her good books.