Stage trees if I recall were the subject of a series of science fiction stories. They grew as boosters essentially, ignited at some point to launch and spread their seeds. If they grew for a long time without igniting, they might leave the planet.

'The Integral Trees' also had trees in space.

The unlikeliness of the wooden spaceship was one of my favorite parts of the sci-fi mystery/adventure game “The Outer Wilds”. (An indie gem…highly recommended, if you like puzzles or exploration.)

https://www.mobiusdigitalgames.com/outer-wilds.html

The original concept for Alien 3 had the prison being a wooden space monastery.

Yeah, this wooden satellite news is a big day for fans of that unmade concept -- there are dozens of us!

See also: Yggdrasill the tree-ship from Hyperion, and a similar idea from the movie The Fountain.