How to File a Car Crash Claim in New York It is important to file a claim as soon as possible following the time you've been involved in a car accident. This will speed up the claim process and make it easier to collect compensation. The longer you delay waiting to submit your claim, the more likely the insurance company for the other driver to reject it or to pay less than it should. Damages A car crash claim can pay for the financial cost of your injuries. These damages may include medical expenses, lost earnings, and pain and suffering. If