No it wouldn't. At a constant 1g acceleration, you're in the .9c range in less than a year. So to get to Alpha Centauri would take < 6 years, accounting for acc

No it wouldn't. At a constant 1g acceleration, you're in the .9c range in less than a year. So to get to Alpha Centauri would take < 6 years, accounting for acceleration and deceleration. And because you're constantly accelerating, and accelerating to relativistic velocities, you would experience dramatic time dilation as well, meaning the amount of time passed for the ship would be even less.