I’m Active-Duty Military and Have Tricare Coverage, Can I Have an HSA? Ryan Kennelly September 25, 2020 06:38 Updated Follow At this time, Tricare does not offer an HDHP options so you are not eligible for an HSA. Related articles Can I convert an HSA account to an IRA? What are the pros/cons? I have self only insurance coverage, can I use my HSA funds for my family members? Comments 0 comments Please sign in to leave a comment.