If you're a Singularitarian, they believe that technological progress is more or less exponential. So visiting other solar systems might not be so long off. To use your analogy, it may have taken millennia to put our toe in the surf (reach the Moon), but the first voyage to neighboring islands may come pretty soon.
So visiting other solar systems might not be so long off.
Uh, no I never suggested or implied that. You're the author of those words.
In Apollo 13, they captured the desire of the astronauts to walk on the moon. However, it was a personal desire on the part of the astronauts. We spend billions and come back with a few rocks. The nearest planet is around 4.2 light years away. So far, the fastest man made object, the Helios, has attained speeds of 150,000 mph. At top speed, it could cover 1.3 billion miles per year, but the closest star to us is over 20 trillion miles away. I've tried running the numbers, but they're beyond me. It looks, though, that it would take generations to get to the closest star and more generations to get back, even if we tripled our current top speed. I don't think man has that kind of generational interest.