According to quantum mechanics even though a particle has a smaller energy than the barrier, there is still a chance that it can penetrate through the wall and can be found on the other side.
There is a movie called "Special" and a scene in the movie reminds me of this property.
spoiler alert !
Les runs and tries to jump through the wall repeatedly. He believes he can do that. Here is the scene from the trailer (starts at 0:50):