It all depends on the university system involved. In Georgia public colleges, core courses (english, biology, college algebra, etc.) transfer seamlessly across every school and regardless of major, everyone has to have some of them, even someone with an EMS major in a junior college program. The core courses would all transfer directly, and some of the EMS ones would qualify as elective classes to fill out some of the semester hour numbers required for graduation.
Remember that medical school has no required majors - as long as you have the appropriate pre-requisites (biology, chems, physics, etc.) you can major in PE or music performance or accounting and get into medical school.