In New Zealand we have a government organisation called ACC (Accident Compensation Corporation) which provides insurance for accidents and injuries. It prevents you from suing in this case:
"ACC is the sole and compulsory provider of accident insurance in New Zealand for all work and non-work related injuries. The corporation administers the ACC Scheme on a no-fault basis, so that anyone, regardless of the way in which they suffered an injury, has coverage under the scheme. Due to the scheme's no-fault basis, people who have suffered personal injury do not have the right to sue an at-fault party, except for exemplary damages."