No. You can’t really ship any of the personal household belongings, even if it is just one carton or standard moving box. Firstly, the car will be shipped using a special car carrier container that is especially built for car transportation. Secondly, there may be a case of multiple car getting shipped in same container, so the transporters won’t be able to ensure the safety of any other items and hence it’s recommended to not ship anything else with your car.