In my 26 years of practice, I have represented hundreds of people injured as a result of a collision, and the answer is, “maybe.” First, you have to establish that the other driver did something wrong that caused the collision. I tell my clients that “cause” means it was the other driver’s fault. For example, if you are at a stop sign and someone hits you, it is their fault. The other driver did something wrong that caused the collision. On the other hand, if you run into someone who is stopped, then it is not the other driver’s fault.
Assuming it was the fault of the other driver, the second item you must establish is that you incurred some type of damage. Damages fall into three general categories: medical bills for the injuries you received from the collision; lost wages due to your inability to work due to the collision; and pain and suffering you endured as a result of the collision. If the doctor says your broken wrist is due to the collision and the other driver caused that collision, then you are entitled to compensation.
The foregoing answer is not legal advice and is merely a general overview. You are advised to consult a lawyer to address your specific situation.