I think of the "Dukes of Hazard" type of movie, and you have to ask: How many times can a car make a "jump" over a ditch and land as hard as that car does? Real life answer: Once, if then.
On the other hand, aren't there cars specially reinforced for, say, offroad rallies?
They could, couldn't they?
An off-road rally car is a whole different animal than the "General Lee". If you paint your Dodge Charger bright orange, put a Confederate flag on the doors and try jumping over a freight train with it, I guarantee you won't drive it far after that jump. Road rally cars are built different from the ground up for what they do.
For that matter, a NASCAR racer is a whole different animal than the vehicle it "looks like". Funny thing is, NASCAR started out as a bunch of rednecks putting their white-lightning runners up against each other to see who had the fastest car to run illegal liquor past the law.