It's amazing to think about... I read it would take like 80,000 years to get there with today's tech though.
Article says 20 years with a Count Dooku solar sail.
The 80,000 years number is how long it would take the fastest man-made object to date to get there. So yeah, we could do better with investment and big ideas.
That said, we're talking about entirely untested and unproven technology and I have a hard time believing their math... 4.4 light years away in 20 years is more than 20% the speed of light - it's more like 25%. Also it takes a long long time to get up to that speed, so I don't think that time is factored into that math. Then you have to stop somehow unless you're just planning to fly by, which takes energy and time as well. We're decades if not centuries away from getting a probe anywhere near this thing is all I'm saying.