Several types of Starfleet shuttlecraft in the Star Trek universe are warp-capable (e.g. see this question).
I was thinking about the fact that a starship can be powered by dual, smaller warp cores with redundancy, just like modern multi-engine aircraft, and was wondering why no one ever thought to replace a damaged or missing warp core on a capital starship with a bank of shuttlecraft warp cores.
Is there a reason why a capital starship could not reach, say, a minimal warp (e.g. Warp 1 or 2) by gutting the warp cores out of a dozen or more Warp 5 shuttles and banking them together? Has this ever been explored?
Obviously, being able to use shuttlecraft engines as a makeshift warp drive would detract from the storytelling aspect of losing a warp core, but is there any in universe explanation of why this would or would not be possible (e.g. computer control not scaleable to more than N cores? fundamentally incompatible technology?)? Do warp-capable shuttlecraft even have standard (or at least standard-ish) warp cores (albeit small), or do they enter warp using some other method?
I would define "reaching warp" as attaining at least Warp 1 for a non-trivial length of time, even if the setup is not sustainable in the long term, is somewhat dangerous or risky (e.g. a 10% chance of a core breach might be OK), or is otherwise not ideal.