Being a good chess photographer has nothing to do with being a good chess player and everything to do with being a good photographer. Concentrate on that.
I am not even a professional photographer with any degrees
There is a fixation nowadays with getting a degree. This despite the fact that most universities seem to have become offshoots of Andrex University.
If you want to become good at any practical subject like photography the best way is something like an apprenticeship. As I strongly suspect that apprenticeships in photography don't exist your next best bet is to try and get work, even if it is very badly paid, as some kind of photographer's assistant which will give you the chance to learn what matters from a professional.
Do I have a chance to make a career in chess photography?
How long is a piece of string? What your chances are will depend mostly on you, on how hard you are prepared to work at it and whether you have any talent for photography. It will also depend on luck, on whether you meet the right people who can help you become a good photographer. You are far more likely to find those people in a photography forum than a chess forum.