Yes. It is a matter of whether or not the military will take jurisdiction of the case from the district attorney you received the DWI.
The military has world-wide jurisdiction over military members. What this means if you get a DWI anywhere in the world regardless where you are stationed, the military can prosecute you for DWI.
In Albuquerque, NM, it is common for base lawyers to request jurisdiction from the state, and for the state to grant jurisdiction to the military.
If you’re in the military and have been arrested for DWI, call me at 505-750-8442 for a free consultation about your drunk driving arrest.