More optimistically, you might see some kind of "choosing a chief by consensus" type of situations that you see in some small hunter-gatherer societies (being careful with the word "savage", which is... usually misleading). It'll depend a lot on the size of the crew.
There is a lot of precedent for this. Even on Earth, in 2026, international maritime law states that there is no such thing as a vessel with "democracy" and that a captain always has supreme command. Ships, airplanes, etc are all in a category that operate as strict autocracies.