No, cars/vans generally will land front-first or on the roof. This is due to the fact that once the front-end of the car starts going over the edge, a torque (due to gravity) induces a rotation on the vehicle. Most highways and bridges around are small enough that the car/van can only rotate a quarter or half turn (which corresponds to the front and roof respectively). There are some bridges in the US that might allow for a full rotation due to it's height, but the fall would certainly kill you (regardless of your buckling yourself) due to the sudden stop at the end (see this question for more on thatthis question for more on that).
This link shows the actual attempt at the fall. It falls precisely as stated above: the engine pulls it down and it lands on its back. The screenshot below shows the first attempt at the fall. (source).
So the production crew used a crane to drop it vertically. Chalk this one up to movie magic.