All three are fine, but mean somewhat different things, depending on what you want to say. If you intend something like:
The flights were so short that no one expected the astronauts would become hungry and have to eat
then "need" is correct, or synonyms such as require, necessitate, call for, or (one definition of) demand.
If instead you want to say:
The flights were so short that it would have been useless to bring food (since the astronauts did not have time to eat)
then "point" works, or synonyms such as reason.
Lastly if you want to say:
The flights were so short that it would have been unreasonable (i.e. nonsensical) to bring food (for whatever reason, such as the extra weight would have affected the ship's trajectory)
then "sense" works, or related synonyms such as value, logic, use or advantage.
Note that both "sense" and "point" are words that sounds better (at least to me) paired with the gerund rather than the infinitive:
As the first space flights lasted just a few minutes, there was no sense/point carrying food onboard.