Yeah, but why. It's not like you could redirect it enough that you'd land somewhere in your lifetime. It'd just be changing where the ship ended up in 10, or 100, or 1000 generations.
I'm not saying someone won't convince everyone on board that a silver future for their Nth-great-grandchildren worth derailing the golden future of their 10Nth-great-grandchildren (especially if it looks like the generation ship won't last 10N more generations), but from my POV sitting on a couch that isn't on a generation ship (well, not something traditionally defined as a generation ship), it doesn't feel like something you'd get everyone all fired up over.