This logline isn't a bad start: it communicates where the story takes place and that there's some kind of journey involved. However, in order to be a fully-functioning logline it really should be providing more. Try developing this logline so it conveys more clearly who the lead is (is it the single man or the passenger?) and what the dramatic point of the story is. This isn't coming through yet. What's the 'problem'? Where's the conflict going to come from? Ideally, you should be providing some clear clue to this.

If you'd like my logline helpsheet I put together for my clients some time ago, do pop me an email.

Thank you Phil, it is a pretty vague logline and needs work. I love your suggestions and will work on it per your suggestions. Sometimes you have it all in your head and makes the logline written by the writer (in this case, me) pretty vague, as I stated, and needing more work. Thank you again and take care.

Just updated it. Perhaps, it works better?

Logline: A lone spaceship, piloted by a single man, carries a precious cargo, and an unknown sleeping passenger across the Universe.

(New) Logline: His cryogenic sleeping chamber irreparable, a lone scientist/pilot must guide a spaceship carrying precious cargo and a mysterious sleeping passenger, both keys to new life, across countless galaxies looking for a habitable planet. His two biggest enemies, time and loneliness.