Can my infected piercing of 4 years be removed surgically?

I had an interesting ear piercing experience. Something the piercer had never done, three piercrings in the form of a triangle in my cartilage. It's been about 4 years now and it has not healed very well. My skin is growing over the piercings and constantly omitting puss and blood. From time to time it is hot to the touch. Overall, it is not a pretty thing to look at. The kicker is, it's impossible to take off! Someone suggested getting it surgically removed. Can this even be done?