Looking at the comments, most people are approaching this as 'grow, like trees'.<p>We're literally talking moonshot projects here and nowhere does the brief mention specifically trees, or aerobic respiration/processes, there is plenty of room for using Chitin, Spider silk, keratin or a combination of biopolymers to form resilient composite structures.<p>There's already been videos of people using these as doping agents or additives for bulletproof armor, to middling success.
The synthesis via yeast or e.coli for most of these are partially solved problems, its more texturing them or using bio-mechanical processing to form thread or ply or load bearing panels that seems to be the major hurdle.
Also, being able to reliably source component and materials from near vacuum or whatever asteroid that happens to wander by that makes this a much more difficult problem to even define.