Is it okay to give a statement to the insurance company?

No.  We understand that you want to be cooperative, but you should not give a statement to an insurance adjuster until you have spoken to a personal injury lawyer.  Remember, it is the insurance company’s objective to pay you as little as possible.  An adjuster may attempt to get you to say things that could limit the amount of compensation you will receive.  Get advice from an auto accident attorney before speaking with the insurance company, even if it is your own insurer.