Can I sue my job for losing the tip of my finger?

I work at a restaurant as a dishwasher. While trying to get the food product inside, I got my right ring finger smashed by a metal door. the door had problems, when we tried opening the door, the door would close with a bit of force. the managers knew of it but did nothing until I had the accident. Right now the door is fixed but if they had fix the door earlier, the accident could have been avoided. I ended up losing the nail area of my finger. Can I sue for losing it?