Can any PA give you a profile?

Thankfully the people in your battery are not qualified medical personnel

Yes, any PA on base at any medical clinic on base can give you a profile. They are a medical provider.

Any PA can write a profile. I think the significant question from your Chain of Command is probably why were you being seen in a clinic outside of your Brigade AO. The simple solution is to take your profile and see your Brigade's medical provider. If it is a legitimate profile, your PA will confirm it and there won't be any more issues.