The Army has an entire branch, the medical service corps, filled with non-medical people who work at the periphery of health care. For example, TDA units (e.g. hospitals) have company and troop commanders who are MSC officers. In theory, they're supposed to aid the specialty corps by doing non-medical administrative work, freeing the rest of us to take care of patients. Unfortunately, reality is a far cry from theory. These officers also serve in MTOE units.
These are "line" officers in a loose sense of the word, meaning that they're not the combat arms type of hard chargers, their self-image notwithstanding. They're lumped in with other combat service support branches, such as ordnance, transportation, or quartermaster officers. In my experience, a relatively high percentage of medical corps officers with prior service came from the MSC branch. There's nothing about this job that prepares one for medical school, but the good news is that medical schools don't typically realize that. They just hear the word "medical" in your job description, which might bump you up a point or two. Of course, none of that would overcome an unsatisfactory GPA or MCAT.