Car Accident Compensation in New York You could be eligible to make a claim on car accident compensation if you've been involved in an accident. You can sue for both economic and non-economic losses that are greater than your policy limits. There are a variety of factors that could affect the value of your claim. In New York, you can file for compensation if you were seriously injured. There is a time limit to make an claim for car accident compensation If you've been injured as a result of a car accident you may be entitled to compensation.