I think in the future we will unravel the mysteries of spacetime and quantum physics which will allow us to travel at faster than light speeds. It would still take years to visit that planet though but the spaceship could be like a moving city. I'd say gate travel or wormholes are possible too but in the very distant future.
You can never travel FTL, because that would require infinite energy.
Though, we can avoid the problem by using something like:
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This isn't that far-fetched, and NASA (and other groups) have already started preliminary research, and basic theory development.
We're still a very, very long away from this though. At least a few hundred (maybe thousand) years, because first we need to find a power source, and than we need to conquer gravity. No small tasks, but It's all theoretically possible.