Using current technology, it would be impossible for humans to make the journey.

However, a space craft like New Horizon traveling @ 58,536 km/hr which took 9.5 years to reach Pluto would take approximately 78,000 years to reach the Alpha Centauri System.

The Alpha Centauri system is 4.3 light years distant from us, and the system contains an earth sized planet.

The math:

A light year is 9.46 trillion km: 4.3 light years is approximately 41 trillion km. A spacecraft travelling at 58,536 km/hr would take approximately 78,000 years to reach the Alpha Centauri system.

More Info: earthsky.org