Alpha centauri is approximately 4.37 light years away. Project starshot is already aiming to get there. This can take anywhere from 20 to 50 years depending on the mission. We already have a spacecraft from 1977 that is still operating today which proves our potential to build on a 50 year timeframe. We'll likely have humans somewhere in our solar system besides earth before anyone attempts to go to alpha centauri but besides that I also think we would be able to live much longer. Life expectancy increases are around 1% or 0.8% per decade at its current pace. There's no guarantee this continues but even so, if that's the average in the coming decades then we'll expect people to live hundreds of years by the time we can send a ship to alpha centauri.