We currently have absolutely zero technology that can make a meaningful impact on the fabric of space/time in our area, the obstacle her is how much energy we can produce and focus into a single point. Two hundred years ago we were just barely starting to puzzle together electricity for domestic use. Hundred fifty ish years later we're splitting atoms apart to produce energy in quantities the fuels and mechanics originally used to produce energy could never replicate. I'm of the believe that technological progress will continue its exponential growth indefinitely, and that the technology to generate energy in the volumes necessary to impact space time is not simply possible, but inevitable.
