Can you get into the military with degenerative arthritis?

I have degenerative arthritis between my T6 and T7 vertebrae and I was wondering would I be able to get into any branch of the military? It only hurts in extream cold, usually in the start of winter. I work out a lot and that has never bothered me. I found out I had it about 2 years ago when I was hit in a car accident and my mom had told me I should go in for x-rays. I’m just worried because my cousin was going into the Navy and the first day when they gave him a physical they found out he had arthritis in his knees.