What does it mean when a guy says "fight me"?

Anonymous
When I was with my crush he was complaining that the floor was too hard and that he wanted his pillow back. We were at an event that requires people to work on a project over the course of 24 hours and after midnight they had rooms set up for people to sleep in. So the two of us were in the sleeping room with like 5 other participants and I wanted his pillow cause I was borrowing it but he kept inching closer and whispering "fight me". He also kept trying to grab it from me but he would hesistate to actually take it when he's probably able to overpower me pretty well.
Then after that whenever he wanted his pillow back he would say "fight me" and I just assured him he could get it later. When he says that though we never actually fight. We sort of just banter and he hesitates to get too close to me so I'm wondering what that could mean.
What does it mean when a guy says "fight me"?
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