No.I don't think the show was directly inspired by the epic poem but I agree that the two stories have numerous similarities. To be honest I've never actually considered that before, good question...
If anything, Trek was inspired by Forbidden Planet and Wagon Train. Trek has been referred to as "Wagon Train to the Stars." DarthLucifer 21:56, August 22, 2011 (UTC)
That's Star Trek: The Original Series, not Star Trek: Voyager. Yes, there are a lot of similarities with The Odyssey ProfessorTrek 23:13, August 22, 2011 (UTC)