Did a bat fly through the window?

I had a broken window crack that I had to fix...

But the window was open for about an hour were anything could have gotten in.
It was during the day around 1:00pm.
I didn't see anything fly through the window but if I missed something?

Later that night, I was going to sleep and felt a needle like poke when I put my arm under the pillow.
There was a small enough hole that something could have gotten in there.
Didn't feel anything warm when that happened.
Tried feeling around after that but didn't feel anything that could have caused it.
Didn't notice any new marks or anything.
Didn't notice any blood.

My cat was also on my bed at the time, and he's a very playful cat.
He was acting like normal self.
Wouldn't he have smelled a bat if it in there and try to play with it?

Is it possible it that something just pulled a hair?

Did a bat fly through the window?
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