Original: Provided Voyager 1 does not collide with any stellar objects, the New Horizons space probe will never pass it, despite being launched from Earth at a faster speed than either Voyager spacecraft.
Simplified: The New Horizons mission to Pluto was launched from Earth at a faster speed than Voyager 1, however since that probe will not get all the gravity assists which sped Voyager along its path, it will never pass Voyager 1.