Andyrory, should you think that this is directly as a result of the accident, then yes, the statute of limitations is three years - but it's three years either from the date of the accident, OR from when you first became aware of the condition.
If you want to pursue this, or take proper legal advice - contact your insurance company if you have legal advice cover with the motor policy which was in force at the time of the accident. When we had an accident claim, the legal company helped us through the personal injury claim process. I would contact them now, just to see what their stance on this is.