I'd really love for this to be true. IMO interstellar travel is impossible. I hope I'm wrong.
I'll be the "well, ackshually..." guy and point out that interstellar travel is possible even with current technology. Four probes, Pioneer 10, Pioneer 11, Voyager 1, and Voyager 2 have all passed the heliopause, which marks the boundary between the limits of the Solar System and the interstellar medium. Only Voyager 1 & 2 were still active at the time, but the data they returned did show a marked change in line with predictions for what the heliopause would be like. New Horizons, the probe that flew past Pluto, is also on course to leave the Solar System but it will need a few more years to do so.
There are designs for interstellar probes that we could build today that would be able to reach speeds of 15%-20% of the speed of light, fast enough to get to the Alpha Centauri system in 20-30 years if we just want a fly-by, or 100-150 years if we want them to slow down and enter into orbit around the star. Those would just be robotic probes though, no human occupant.
If you meant interstellar travel with FTL drives, then yes it's currently not possible, and may never be. But there are theories featuring exotic matter that could speed things up enough to allow people to travel to the nearest stars in a few years ship-time, due to time dilation from travelling at a significant percentage of the speed of light. It would still be slower than light speed, so on Earth a few hundred years might pass, but even so for the astronauts on board they would get to explore alien solar systems, at the cost of leaving behind everyone they know.
