I don't think its really that outlandish an idea.
I presume you mean a "true" woody, and not the fake woodgrain vinyl treatment. Before WWII, many station wagon bodies were made of wood and fitted to a standard car body. Later, they were just wood panels fitted over the metal with wood trim around the panels. They eventually degenerated into tacky woodgrain vinyl stick-ons.
Putting a '32 Ford style woody wagon back end on a Sami shouldn't be too difficult. Since the Sami and Kick are both "body on frame" construction, either could be used. The drawbacks of course are water damage and dry rot. Wood bodies are not easy to maintain.