Can I get over being squeamish?

As I have said in some of my other questions, I really love medicine. My dream is to be a neurologist. However, I have one problem. I'm squeamish! Is there any way to get over this? Can someone get used to blood and injuries? When I see someone hurting I want to help them, but I tend to feel their pain as well. If someone breaks their left leg, mine hurts too. Does anyone have any advise? Has anyone else been in my posistion?