Hello GracePeace: I see this is your first post here on PC. So... welcome to Psych Central.

I'm sorry I don't think there is anything I can offer with regard to your concern. My personal opinion is there is simply no way to tell whether or not your friend will come back to you. I'm afraid about all you're going to be able to do is to wait & see. Perhaps other members, here on PC, will have some insights they can share.

Since you mentioned your friend has been diagnosed as being bipolar & having PTSD, here are links to articles on each of those subjects written by our host Dr. John Grohol, Psy.D. The articles also provide links to additional articles on their subjects:

Bipolar Disorder: Symptoms, Types & Treatments

Posttraumatic Stress Disorder (PTSD)

And then here are links to 4 articles on the subject of long-distance relationships:

The Challenge of Long-Distance Relationships

7 Tips for Long-Distance Couples

Solve These 5 HUGE Long-Distance Relationship Problems, Now!

https://psychcentral.com/blog/some-t...marriage-work/

I hope you find PC to be of benefit.