According to astrophysicist Neil deGrasse Tyson, if we sent our fastest-ever space probe to Alpha Centauri, the Sun's nearest star system, the journey would take 75,000 years.
Sad to think that in our lifetime we may not see that breakthrough in technology needed to explore the stars. Considering how the human race is dealing with a ton of petty problems instead of working together, I don't think we are collectively ready as a species for such an endeavour.