Yes, the He-162 was wood but then again it never quite got operational. I recall Bill Gunston pointing out that an NF version of the Vampire was essentially an NF Mossie forward fuselage grafted onto an Vampire.
My airplane is considered to be all metal but has a wood floor. Atlas space boosters used wooden parts right up until the early 1980's. None of that is structural parts, but the wooden center fuselage of the Vampire was structural.