OP,
There’s no reason for you not to shoot. Go for it and have fun. Even in poor physical condition you’ll be able to do well with practice.
To do your very best I would encourage you to work on improving your physical condition though. You mentioned shooting prone unsupported which gives me the impression you are thinking about competing in High Power, Palma, or a similar discipline.
You can train and compete, and with practice will do well, but working on your physical condition will also help a lot. Shooting a 20 shot unsupported prone course of fire can be physically exhausting. It will be less exhausting if you get in better shape. Also, improving your cardio condition will improve your prone scores. Poor cardio = rapid heartbeat = can’t time shots between beats. Even with the best technique a pulse beat moves your point of aim. If you improve your cardio you can make pulse less of an issue.
Start by doing some unsupported prone dryfire at home. Time it like a match and this will help you get an idea of your physical limitations. If it’s too hard to do a full session the first try, just keep training to work up to it.
Qualifier: I shoot on a state rifle team, coach high power, and have won some stuff. ; )