It would take about 15.6 years [0] to reach the star on a ship capable of a constant 1G acceleration.
Here is the explanation and equations: http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.h...
Here is the explanation and equations: http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.h...
2 * T(1250 lyr) = 2 * (c/a) arccosh (ad/c^2 + 1) = 2 * arccosh(1250 + 1) = 2 * 7.8 = 15.6 yr.
But a probe might be able to.
https://news.ycombinator.com/item?id=4534359
https://news.ycombinator.com/item?id=6238297
Although, I certainly wouldn't bet against it long term.