Car Accident Compensation in New York You could be able to submit a claim for accident compensation if you've been in an accident. You can sue for both economic and non-economic losses that are greater than the limits of your insurance. There are a few variables that can affect the value of your claim. If you've been severely injured, you may claim damages in New York. Time frame for filing an auto accident compensation claim You could be entitled to compensation if are injured in an auto accident. But, you need to comply within the timeframe