>>7570462Due to time dilation the traveler measures less time elapsed on the journey, so assuming you can approach arbitrarily close to c, the traveler can complete the journey in an arbitrarily small time from their own perspective.
The time elapsed on Earth will still be the normal travel time though, so when you return from a 1000 light-year round trip at close to c, Earth will have aged ~1000 years. Free time travel?