Undoubtedly. Even the very successful robotic missions to Mars and the outer planets have been largely discontinued. I would be thrilled with robot landers on the moons of Jupiter and Saturn, something it's safe to say I will not live to see.
And why not robotic exploration of the moon? If robotics were to advance to the point of fulfilling the most modest popular expectations, they could prepare a habitable moon base.
I do think we’ll have to return to the moon and stay if we hope to do more. Robotic preparations are a good idea.
Yes! In fact I watched a doc on the science channel not so long ago about setting up a robotic mission to Mars that had a human habitat on it as well. The Robot would go about gathering resources to make fuel to load into the fuel processor for the return trip of the later manned mission.
It would be awesome to test the tech on the moon first even if the stuff needed for fueling the rocket wasn't on the moon in the quantities needed like it supposed to be for Mars. You could still test the mechanics and the telemetry and such.