Baby movements kind of hurting?

So, I'm 31 weeks & 4 days and these past two weeks, my baby has been actually hurting me with his movements. Like, he'll be pushing so hard on the right side of my belly & on my hip area. Even when I feel him kinda flippin around, it hurts. I haven't had any serious cramping or spotting but I'm wondering if this could possibly mean he might come early? Not insanely early! Within the 36-40 week range. I only feel like this bc I feel like he's running out of room & my belly literally feels like it can't get any bigger lmao. Anyone else feel this way?