Yes, you should contact your insurer as soon as possible. Certain policies have a time limit for reporting incidents, even if you are making the report for ‘information only’ and do not wish to make a claim. If you were driving a hire car, contact the hire company as soon as possible. Rental companies have their own procedures for dealing with insurance companies and anyone else involved in the accident. Once you are home, write to the company with a full report of the incident.