I agree with steely.
You should do what makes you happy.
But...I did what you are going to do now aged 17, after i fucked up my shoulder soon after training for the first time. I wouldn't recommend it.
If I were in your shoes (I know i'm not, but..) I would prioritise back squats/leg press/ whatever you can do for legs. You could get very strong at that with a few months of lifting several times per week.
Ab training is also a must.
Actually, i'll start a list of what you COULD do:
Back Squats, leg press, ab crunches, reverse crunches, hanging leg raises, good mornings, zercher squats,
Potentially also you could fasten cables to your forearms, and do all sort of tricep pressdown/bicep curl/pec flye/reverse flye stuff.
Is the injured wrist your dominant/stronger arm? If so, you could increase symmetry by: 1 arm db press, 1 arm db curl, 1 arm tricep work (pullovers, pressdowns) lateral raises etc: all for the uninjured side. I remember reading that your untrained side received some strength gains due to training the uninjured side (this is neurally-based) though not done that myself so it's just theory.
Tensing muscles (aka posing) would be a good idea to create strong mind-muscle links (vital) for when you later return to training)
You could also sprint (recommend intermittent sprinting over lond steady state cardio if you have to take time off training).
Hope this helps you out