I don't think a disinterest in science should prevent you from pursuing your dreams of becoming a pediatrician. However, as you already know, a large part of the medical field is based on science. I don't think you need to be interested in it, but you need to be able to understand it, and get good grades during your undergrad studies in order to get into a medical school.
I personally know people who dislike the sciences, but loves practicing as a physician. :) Hope this helps.