Consider Harry Turtledove's The Road Not Taken.
There exists a hyperdrive and a gravitic drive that have no relationship to the rest of physics. They aren't going to be discovered by normal scientific progress. The flip side is that discovering them doesn't lead to the rest of science--they get you around but won't lead to the rest of the scientific revolution.
Of course we see nothing of what the tech is like but the story starts out in a starship with no electricity.