The planetary alignment that allowed the Voyager probes to move so fast only occurs every 175 years. Even with this advantage it took them 12 years to get to Neptune. So the short answer is no.
The truth is that, as much as people LOVE bringing it up, the alignment was special only because it allowed us to slingshot from body to body with almost no fuel aboard the probe itself.
That's it. Nothing to do with speed. We could launch something that goes way faster right now, if someone wanted to pay for it. Hell, we could have done it 50 years ago.
We didn't because it would go in a straight line towards "nothing".