First off, there are many adversities faced when the topic of interstellar travel rises. There are just too many issues to make interstellar travel viable, in our life times and possibly, ever. There is the issue of propulsion, as our traditional means of getting from point A to point B doesn't really cut it when moving across the vast distances of space. There are viable methods, like wormholes and Alcubierre drives, but they're entirely theoretical. Other problems like protecting the shuttle from radiation and space debris and something known as The Wait Calculation really don't make things better. The list goes on, which brings me back to my question...
Is it probable?
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Of course. May not happen in any of our life times but if we can get to the moon then I'm sure we could eventually reach the edges of our galaxy and the whole universe eventually.