Is there any Instrument that doesn't belong in Jazz?

As I was listening to Vince Guaraldi Trio this morning, I started thinking about how much I love a simple Jazz trio as such. However I also love more experiment stuff like Dj Spooky or St. Germain, and this got me wondering if there is an instrument that should never be in a Jazz song. One that crossed m mind was the harmonica, as I couldn’t image it, but maybe there’s a song with it that works.

Thoughts?