Answer
See below.
Work Step by Step
The wave nature of matter does allow for the possibility for particles to pass through regions of space where classical physics forbids them to be. (Look up "quantum tunneling" for much more on the subject.)
This behavior is seen all the time for individual particles. However, the probability is ridiculously small that every one of the approximately billion billion billion particles that comprise you could simultaneously pass through a solid wall. We may consider this event to be impossible.
