That's probably from "Top Gear", which has been known to use special effects - whether CGI or actual explosives - to enhance their videos in the past.
In theory, even a small car with a tow rope can provide some forward force to a ship, which being in water is not subject to much friction, so it can therefore provide some small acceleration to the ship that can eventually result in visible motion. Unless tide or currents are moving the ship the other way, which may be why the car was pulled backwards the first time. And, of course, if tide or current are moving the ship forwards anyway, the car is irrelevant.
The other problem is that the ship, being in water, is not subject to much friction, and unlike the car, isn't fitted with brakes. Which means once it starts moving forwards towards the pier on which the car is sitting, it won't want to stop... (Unless the captain starts up the engines, puts them into reverse, and pulls the car into the water.)