Yeah, some girls do. Just the way that some guys talk to girls to feel needed. This isn’t a “girl thing” or a “guy thing”. It’s a “humans seeking validation thing”.
Anyhow, if what this girl does irritates you, then either tell her “Look, I love talking with you, but I’m kinda busy. I’d love to grab coffee with you on (insert day that you wanna go out with her on here), though.”.
Or, if you don’t wanna go out with her, just tell her “Look, I love talking with you, but lately I’ve been really busy and my phone’s been blown up with texts. So I won’t really be able to reply that much, sorry in advance.” and then summarily use the excuse to stop replying to her.