I've not made it to Jool yet so take this as an uneducated guess, but I'm sure you could.. I'm just not sure you'd necessarily save any delta v by doing it. As far as I can see, most of the delta-v cost of reaching Tylo is actually going to be due to slowing down enough to avoid being flung out of its sphere of influence. By passing close over Jool, you can exploit the Oberth effect to lower that speed faster so you only leave Jool with enough energy to get to Tylo and not to fly out of Jool's sphere of influence altogether (this came up in the previous video). You could, as I understand it from other mission reports, also theoretically save delta-v altogether by performing an aerocapture in Jool's atmosphere, although that's a bit less predictable.