[u801e]

Even the New Horizons spacecraft's speed relative to earth is less than Voyager 1, and it was launched back in 2006.

[rurban]

Still plain old conventional rockets. This would need 78.000 years, impossible.

Eg with a lightsail or StarChip it would need 20 years. There are also other possibilities. My neighbor is rocket technician. https://earthsky.org/space/alpha-centauri-travel-time

[u801e]

You did specify current rocket tech. The technologies you're talking about have not been tested or used commercially or by any space agency as far as I'm aware.