Not possible according to the laws of physics. The closest you can get is a solar sail, but that's not "propellant-less" - photons are the propellant. If a company thinks they've broken one of the most fundamental laws of physics (momentum transfer), they need to provide some serious evidence, and publish in full so their results can be replicated. A press release on an obscure website isn't how you do it.
It would be cool, though, if it were actually interacting with the zero point field or some similar bunky stuff. We can already extract minute amounts of matter from the field, ostensibly experimentally proven, so I suppose it’s not impossible to imagine that you might somehow be able to push on Casimir forces, perhaps.