FAA Badge and Medical Marijuana card?

This is a random question but I cannot seem to find the answer anywhere. I am an accountant for a private hangar. I have a basic level security badge through the FAA/issued by the neighboring airport to access the building and hangar. I am not enrolled in the drug and alcohol program.

Would I be able to get my medical marijuana card while having this badge? Does the FAA check things like that for office workers/people not enrolled in the D&A program? Obviously I am not in a safety-sensitive position like pilots, A&Ps, directors, etc.

Any insight would be helpful.