Yep. I wasn't writing a "benefits" post or I would have mentioned that first. Since fountain pens rely on gravity to work (instead of relying on friction like ballpoints), they require zero downward pressure. In fact, with more delicate nibs like the one in this pen, downward pressure will destroy the nib. You learn to simply guide the pen instead of pressing down. This means no more wrist pain. It also means that cursive writing becomes far easier than print, since you are just guiding and not pushing down (and lifting up) all the time.
So absolutely, if you are having wrist pain when writing, I'd suggest try a fountain pen. I can give you some pen suggestions if you'd like.