I’m Active-Duty Military and Have Tricare Coverage, Can I Have an HSA? Ryan Kennelly September 05, 2018 22:55 Updated Follow At this time, Tricare does not offer an HDHP options so you are not eligible for an HSA. Related articles What's the Difference Between an HSA and PPO Plan? Does a Health Savings Account (HSA) Work With a Qualifying Health Plan Purchased On a Public or Private Exchange? What is a “High Deductible Health Plan” (HDHP)? Comments 0 comments Please sign in to leave a comment.