I would recommend using at least marine grade bs 1088 certified plywood
or maybe aviation grade. Then encapsulate it in epoxy, fibreglass
cloth, carbon fiber and kevlar (where applicable). I think using a
stitch and glue construction technique you could build a ship that
would get you into space.......as they say that the high end plwood is
as strong as steel but considerably lighter, but I can't see how a wood
based craft would survive the rigours of re-entry...... I mean it would
burn up, after all it is wood, right?

Good Luck.

Ground control to Major Tom.