No. Under no circumstances should you be with the property damage adjuster when they take pictures of your vehicle. It is important to remember that these insurance adjusters work for the other side. They are not there to help you. They are trying to pay as little as possible for both property damage and bodily injury.
It is not uncommon for them to play tricks, such as asking you to retrieve information from your car’s glove compartment in order to photograph you bending over into the car. This can be used later against you during the injury case.
We strongly advise that you have a family friend or other relative there when the adjuster examines the vehicle. It is also important that no one talk to the adjuster or reveal details about the accident or injuries sustained.