You will still live if you break your wrist, it's not fatal. The amount of time varies on how bad the break is, whether it's a small fracture or a greenstick or a clean break. Ask your doctor if you have broken your wrist, or whoever put it in plaster; they should be able to help you.
I broke my wrists (combined) 3 times and they didn't take that long to heal. About a month maybe a month and a half. The longest my worst wrist took me was about A month and 2 and a half weeks. The shortest took a month.
A broken wrist may take several weeks or months to heal depending on the severity of the injury. The time of heal also depends whether the tissues were damaged and the age of a patient. You can confirm with the doctor to help you predict the time.
If you break all your bones still you can live for a longer life. Provided there is no fatal injury to brain, liver, kidneys, heart and lungs etc. It takes 3 weeks to 6 weeks for calcification of bones but for complete healing it may take almost 3 months.