Yes, kinda sorta.
EMTs are registered by their respective states. You take the National Registry exam, but it is your state that grants you title protection, your scope of practice, etc., under the law. Some states are less permissive about some types of training than others. In the majority of states, as long as you hold a valid NREMT you can apply for state registry/licensure. New York will only accept EMT reciprocity if the NREMT-B was obtained as part of a military or National Park Service training program. So you'll have to check with your particular state how accepting they are of NREMT certification.
68Ws are also permitted to challenge the LPN exam in several states (NY among them).
The Army and USAF are also co-implementing two different versions of a similar program to facilitate members who are getting out transitioning to a civilian career. I only know what I know from my training manager friends who are still in, but in general, the services are trying hard to close the gap between the huge number of military jobs that don't translate to a civilian job. Far too many military jobs train to a high standard but don't come with the requisite licensure, certification, etc., that civilian employers need. Medical jobs are notorious for that. So they're trying hard to improve that gap.
Former USAF flight medic and training manager