Not if it's a Federation ancient ship. Or how about if this ancient ship was Klingon or Romulan or Borg (before FC ruined them)? This pre-warped race would be in imminent danger.
If it's a Federation ship, it's not ancient. But that would (probably) be reason to get involved and try to take the ship back, if still possible. At least, that's what Kirk would do, but whether his way is entirely legit is up for debate.
Klingon or Romulan is none of the Federation's business.
Borg could potentially be an exception for the security of the Federation.