Back of the envelope math - 4.2 light years to the nearest star that's not the sun, current vehicles traveling about 10x the speed of voyager (e.g. 1 light day in 5 years). If something was launched today it would get to the nearest star system in about 7,660 years (assuming that star system also a radius of 1 light day).
100x faster than current (1,000km/s) would still take 76 years.
Definitely not before 2100 and almost certainly so long after that we will seem like a primitive civilization compared to those that do it.