Should I (24M) invite this girl (21F) to hang out with me outside of college?

Some months ago in a poet reciting place I go, I saw a cute girl who I found attractive but never talked to her because I was shy to do so. Weeks later, by pure coincidence, she enters my working place ( I am a math tutor at college) and asks me a question about a class, and I immediately recognize her. I took this chance and started a small conversation, but I never asked for her number. Weeks later I saw her at the reciting place and I approached her to talk to her. It was a fun and cute interaction because she saw my painted nails and said she wanted to paint them, and when I was cold she offered me her jacket, and when I told her if she wanted a drink, she told me she wanted me to surprise her, which I did.

Afterward, we exchange numbers, but she didn't text me much, so we basically talk and see each other on Tuesdays and Thursdays. 2 weeks ago I told her if I could give her a ride back home (she lives near the reciting place which is like 30-40 min drive) and she agreed, but when she asked me if I was doing something at college and I replied with a no, she sounded surprise. I think that made her uncomfortable because she thought I was at college, but I was at my house so I basically went to an almost hour trip to give her a ride back home. She didn't text me or told me to see each other for a whole week, so I thought she felt uncomfortable and ghosted me, but last Tuesday she texted me if I wanted her to read my cards (Tarod cards because she is practicing). So I did, and she humbly asked if I could give her a ride back home (she uses the bus), and since I was going to the reciting place, I agreed. In the end, when I left her at her home, she told me I nailed/rocked it by giving her a ride. Then, on Thursday was the last time we saw each other.

Should I (24M) invite this girl (21F) to hang out with me outside of college?
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