Yes. Family members and friends can purchase flights using Militaryfares.com
Active Duty Servicemembers, dependents, and traveling companions are eligible to purchase any available military fares. Purchasing a military class ticket will identify your ticket with the code: MIL so the airline will know you and your family are military.
Family members such as mom, dad, sister, etc may use the site but are only eligible for adult fares unless traveling with the active duty member or dependent.