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.
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".