Yes, it is possible because there is no absolute standard of time.
Work Step by Step
Imagine a star is 20,000 light-years from us, so we agree that light takes 20,000 years to get to us. From our viewpoint, an astronaut traveling close to c would take just over 20,000 years to travel there. However, from the traveling astronaut's frame of reference, the distance is contracted. If she travels sufficiently close to the speed of light, say, such that the $\gamma$ factor is 20,000, the distance to her will appear to be much shorter: short enough to cover in 1 year of her time. Earthlings would see her clock as moving at a snail's pace: 20,000 times slower than our clocks. She could make a round trip in well under a 70-year lifespan. However, the Earth she returns to will have aged at least 40,000 years!