Can my work make me go to the hospital?

I live in Michigan and I recently turned 18. I work at a senior home in the kitchen and today while clocked in towards the end of the night, I was sitting in a wooden chair rolling silverware when the back snapped in half and I fell. I didn't feel any pain and ny hostess filed an accident report and asked me if I was hurt when she found out about 10 minutes later. I said my lower back felt subtly stiff and she filed an injurt report. A few minutes later I noticed that I didn't feel any stiffness anymore and I told her I wanted to cancel the injury report, so I don't have to make a hospital trip for nothing. It's an hour later and I feel normal, and I was wondering when my boss finds out tomorrow if he'll make me go to the hospital, even though I wrote him a note attatched to the report saying I'm fine. I don't work tomorrow. Do you think he'll make me go?