2nd baby is so accident prone

I have a 2.5 yo and an almost 1 yo. The baby is CONSTANTLY getting hurt. It’s so hard because I watched my first like a hawk and was always right next to him and I just can’t do that for the baby. I feel so guilty. Our house is baby proofed to the best of our ability and baby is just starting to walk. He’s also a maniac and never stops moving. He won’t even watch tv!

In the last two days: -was filling bird feeder up with 2yo, baby falls against metal container and split his gums open -hit head on wooden step -fat lip from smacking a puzzle against his face -bonked his head a few more times

I just want to know if this is normal. I know I was on top of my first 24/7 to the point I think he’s overly cautious. I just feel bad baby keeps getting hurt.