Tucker would certainly qualify as the big swing many have been hoping to see from Jed. I think it's probably more wishful thinking, but there are some breadcrumbs that it could be something to come to fruition. As mentioned upthread Tucker is a great target and doesn't have red flags that might make Jed more gunshy, his current team is decidedly not going to have serious extension talks, and he's not a Boras client so if that's something he wants there's a path to trade + extension.
On the other hand, the Astros seem like they're not eager to give him away and are looking for a soft reboot, plus as an OF he'll have no shortage of suitors. Does a deal have to require a Busch or Paredes to get done? If you're doing that plus sending Bellinger away so you can take on Tucker's 15 million arb estimate, do you have the resources to make the rest of the moves you want to make plus adding a starting caliber position player? What about if the extension gets over the line and you've effectively gained AAV over Paredes + Bellinger in the process?
I'm left with thinking this is a good enough fit that I could see this being where Jed tries to plant his flag, but also that there's enough hurdles that pulling it off would increase the complexity and difficulty of the remainder of the offseason to avoid diluting Tucker's impact too much.