My understanding of gravitational waves is that very large objects try to move. It's easier if the universe sees more or less of their particles than if they moved. So the universe sees more or less of their particles. Instead of creating a warp drive, do that. Find some cosmic structure big enough, and manipulate it until the universe sees more or less of it's particles in a way that you are now where you want to be. Very difficult to do, but it happens:

> After years of producing null results, improved detectors became operational in 2015. On 11 February 2016, the LIGO-Virgo collaborations announced the first observation of gravitational waves, from a signal (dubbed GW150914) detected at 09:50:45 GMT on 14 September 2015 of two black holes with masses of 29 and 36 solar masses merging about 1.3 billion light-years away. During the final fraction of a second of the merger, it released more than 50 times the power of all the stars in the observable universe combined. The signal increased in frequency from 35 to 250 Hz over 10 cycles (5 orbits) as it rose in strength for a period of 0.2 second. The mass of the new merged black hole was 62 solar masses. Energy equivalent to three solar masses was emitted as gravitational waves.