The car can not be shifted out of park without the key. If you know what you are doing you can climb under the car and disconnect the shift rod at either the trans or shifter, but that's not something a moron could handle most likely. Even if you can get the car in neutral that way the steering will also be locked and you will have to cut the steering lock out of the car to steer it, assuming that it is in steerable condition to start with.

Depending on your transporter they may not need to roll it. If the transport has a winch they could simply drag it onto the conveyance. A little dish soap on the wheels will let it slide "relatively" easy allowing it to be winched onto the transport instead of rolled. It's not as if you were worried about scraching it.