Yes, there is Hebert SOM at Uniformed Services University of Health Sciences.
https://www.usuhs.edu
Current and former military personnel are given admission preference at USUHS, but civilians may also apply. Civilians must qualify for military service and commission in the Army, Navy, Air Force or US Public Health Service before they matriculate. USUHS is free, but there is a 4-8 year military service obligation that comes into force upon matriculation. (And if for some reason, a student doesn’t complete med school, the service obligation remains.)