I can't find anything in there about a manned flight.
I know it's not something anyone is seriously, I just want to know if I should be thinking in decades or centuries. Surely there's a rough estimate somewhere?
It's SF, so you're not really bound by actual, you know, reality.
That said, some things to consider if you're not going totally in a Star Trek direction:
* More acceleration equals shorter time to arrive.
* Powered acceleration uses fuel. The more acceleration, the more fuel needed.
* Gravity "slingshots" off the sun or gas giants like Jupiter let you cheat and gain extra acceleration without extra fuel.
* Absent some hand-wavium solution, space travel exposes passengers to radiation. So the longer the flight, the more radiation they soak up.
* Absent some form of suspended animation, and/or stupendously efficient recycling, the longer the flight, the more supplies (food, water, air) are needed.
* Supplies (and fuel!) have mass, so at some point you're spending a lot of fuel to move that mass, as opposed to your passengers.
* Absent some hand-wavium solution like artificial gravity, prolonged weightlessness has serious bad side effects on the human body.
As for "how long", this is SF, so it really depends on how long your plot wants it to be!
Centuries? Pluto isn't orbiting another star, so no, probably not that.
Decades? If you're going to make it take decades, you need to address the supplies & radiation & weightlessness problems.
Multiple years? Same concern as decades.
Months? Possible, but you'll need a lot of acceleration. Doesn't need to be crushing, multiple gravities. A steady, small acceleration for a long time adds up. Google for online constant acceleration calculators to let you figure out how far you'd get if you could do (say) a tenth of a G for a month. I think the answer will surprise you. Don't forget that you need to stop accelerating when you're halfway to Pluto, so you can turn around and decelerate.
Personally, I think your best bet is to say it would take months. You still need to worry about All The Things: Fuel, supplies, radiation, weightlessness, but it's probably plausible half a century from now. And you don't need to freeze people to do it. ;-)