Car Accident Compensation in New York You may be eligible to file a claim for car accident compensation if you have been involved in an accident. You can sue for financial losses that are greater than your policy limits and also for non-economic damages. However, there are some elements that can affect the amount of your claim. In New York, you can file for compensation if you were seriously injured. Time limit to file an auto accident compensation claim If you were injured in an automobile accident, you may be entitled to compensation. But,