Wizards and Robots - Can they co-exist? (Next on Maury)

There are those of us who prefer fantasy stories.  Give us a wizard, an elf or an orc any day of the week, right?  We prefer our supernatural protagonists to live in an exclusively natural world.  Others love the Sci-fi realm.  We want robots, space shuttles and geeky technology that most everyone will be calling "normal" in 50 years.  Finally, there are people like me who like both.  I like Star Wars, Harry Potter, Dune and Lord of the Rings almost equally.  All of those stories capture the escapism I look for, but they also bring the reader to see the world in another pair of eyes.

My question:  Can both Sci-fi and Fantasy exist in the same story?  I've heard quite a few "No!" answers and nearly had my head ripped off by a guy calling himself Stormageddon.

The entire story of Lord of the Rings could have been cut down to about 3 pages if Frodo had teleportation technology available.  Star Wars would have been painful if Luke and his buddies had to walk to the Death Star, right?  All of this pondering brought to mind one question:  How do you write a story which can include both Sci-fi and Fantasy without making it ridiculous?

I used the simple element of time, in Alorya.  There must have been a time when Captain Kirk's ancestors wore armor and bathe once a week.  There also must have been a time when Gandalf would become complacent due to the fact that he's a wizard living in a world of men (and hobbits).  After all, that is what Saruman's destiny was to become, right?  The dominator of a Middle Earth now that the Elves had run off to the West.

In my Prologue, I created an instance in which the continents of men were separated from the continents of Wizards and Barbarians.  They each evolved on their own for the most part, but as the technology advanced, they were in for a bit of conflict.  During the days of men wearing armor and bathing once a week, the Wizards dominated them.  As time progressed, the men discovered technology which would protect them from the Wizard.  In the true tradition of "The best defense is a good offense", there had to be a point where men turned their technological advances toward weapons to be used against the Wizards.

It's probably not a good idea to put the Enterprise in orbit around Middle Earth or have Hogwarts facing off against the Death Star, but you have to think that there must have been a time when both genres were an interesting match.  Let me stop before I start thinking about little blue elves in white hats co-existing with robots which transform in modes of transportation.