It really does depend on which state you lived in and where you moved to. A majority of the states are members of the Driver License Compact (DLC) which requires them to share driving records and any traffic violations. So if you moved between two states that are part of the DLC, then it is likely that your insurance will be able to see your old violations.

Additionally withholding information from your insurance company can void your insurance policy and in most states it could be considered insurance fraud.