I took up indoor rock climbing a couple years ago, partly because I have a similarly sedentary job and hate most forms of exercise. I can certainly understand the draw. I go 2-3 times a week and have stuck with it for so long because it forces me to get out of my head, but also doesn’t require dealing with strangers as much. It’s just a clam, focused activity which also happens to work my body.
Unfortunately, as a hobby, rock climbing is going to work your hands and arms. I would say that, as I have gotten better, I do a better job of using body position to prevent having to hang by my hands. But, just the other day, my foot slipped and I was hanging on by my fingertips for a couple seconds. And harder climbs may require you to engage your hands more. Though again, body position and technique counts for a lot.
Best advice I can give is: talk to your doctor. They will know more about how your condition will be affected by climbing and what your options are. Certainly more than random idiots on the other side of the internet.