Yes. You absolutely still have the right to sue if your injuries were not severe. One reason why is that, oftentimes, people think their injuries are minor. Then, delayed symptoms of secondary injuries enter the picture. You should never assume that your injuries were “mild.”
Secondly: you can recover for compensation for lots of different damages. Medical bills and pain and suffering due to injuries are only two of those. You can still sue to pursue compensation for property damage, mental anguish, time off of work, and so on.