Is it possible to not have an issue with someone but refuse to hang out with them?

Anonymous
I had a coworker who I used to have a crush on. I asked her to hang out, but she gave me an excuse every time. I asked her on separate occasions if she was mad at me because of how I interpreted certain interactions (not related to the rejection but work related), and her response every time was: "Why would I be mad at you?"

There were also two separate occasions where I apologized to her and she looked at me weird and said: "For what?" Did I do anything wrong or was she just not into me?
Updates
+1 y
Have any of you refused to hang out with someone who did nothing wrong?
Is it possible to not have an issue with someone but refuse to hang out with them?
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