He would need military ammo to pierce body armor with that gun, and he couldn’t possibly get access to that.... oh wait.
However, as a medic he would not have that specialized ammo available to him through his unit arms room.
He couldn't get that either. First, it's not a US military standard issue pistol or round. Some special units might have a few and could purchase the AP ammo, as can police departments.
But it's unlikely in the extreme that he, or I, since I live closer to Guns Galore than he did, could purchase such ammunition.