I just confirmed it can be done. I first did it with Ninja, for the Fleet Foot trait, slightly faster movement speed (although not honestly sure if it applies while sprinting).

The important thing to note with that one is the rack you need to jump from. It's incredibly narrow, but you have to jump from on top of the rack, because it's just a little bit higher than the cupboard before it. So, gotta start Sprinting on top of the cupboard, and as soon as you step on that rack and get that elevation, jump, and that's the best chance of making it.

Does seem a whole lot harder without NIN, though. But possible. Also just did it on BLM.