Car Accident Compensation in New York You may be eligible to submit a claim for accident compensation if been in an accident. You can sue for financial losses that are greater than the limits of your policy and also for non-economic damages. There are a few elements that can affect the value of your claim. If you've been severely injured, you can seek damages in New York. Time limit for filing an injury claim in a car accident You may be entitled to compensation if are injured in an auto accident. However, you must comply within the timeframe