Short answer, No.
Full answer: There’s some adjacent work being done on the warping of spacetime using the Casimir Effect. If they’re able to produce negative energies of sufficient amplitude then such work might eventually lead to anti-gravity applications, but this is considered fringe.
If they’re able to produce negative energies of sufficient amplitude
Have we been able to produce any “negative energy” yet? I kind of got the impression that negative energy was some sort of mathematically valid alternate solution to some physics equation, but which didn’t have any basis in reality.
Not really. We can make tiny regions of relatively negative energy compared to empty space, but not in a way that does anything more useful than vacuum-welding metals together and there is disagreement as to how far much further down the zero point is.
Scientists who have since studied Brown’s devices have not found any anti-gravity effect, and have attributed the noticed motive force to the more well-understood phenomenon of ionic drift or “ion wind” from the air particles, some of which remained even when Brown put his device inside a vacuum chamber. More recent studies at NASA, held at high voltages and proper vacuum conditions, showed no generated force.
Ion thrusters are real (and neat), but they are not anti-gravity tech.
Sure, but what is gravity? :D
¯\_(ツ)_/¯