Faster? Sure. Significantly? No. Not at the unfathomably large scale we’re talking about. When adopted to these ridiculously huge distances, the effect the increase in speed modern technology might allow will quickly diminish.

Furthermore, the nearest black hole is a hell of a lot farther away than the Voyager craft have so far made it to. Just ridiculously farther.

I’m pretty confident this is not realistic at all until we managed to make some significance leaps forward in the relevant technology.