Revealing mistake: When the sheriff's car is flipped upside down, the sign behind the car is upside down too, so you can tell the car isn't really upside down.
Revealing mistake: When Sheriff Justice's car falls off of the drawbridge, there are ropes visible on the sides.
Revealing mistake: Right after one of the Mountie's cars is split in half by the snowplow, you can see the mini-wheel used to keep the half-car propped up.
Revealing mistake: When in the desert crash scenes, there is a side on view of a garbage truck lifting up a Police car and dropping it into its bin on the back. In the foreground is an upturned Police car that another car vaults over and crashes. You can see the ramp in front of the upturned car that enables the other Police car to vault it.
Revealing mistake: When Mean Joe Green tips over Sheriff Justice's car, parts of the engine are missing.
Chosen answer: Technically, yes, but no matter how adept the shooter, such a trick would always rely more on luck than skill. Shooting from the hip makes it impossible to aim any better than "in the general direction of the target."