Based on today's technology (requiring no new engineering hurdles to be solved), could a new interstellar space probe overtake Voyager 1's distance? It doesn't need to go in the same direction, but just achieve a further distance from Earth than Voyager 1? I assume the answer is yes, and if so, with today's technology how quickly could this be accomplished?

Ultimately, I'm curious if Voyager 1 is destined to be the furthest man-made object from Earth in my lifetime.