Not easily, he's been hit pretty hard and wasn't much effected. Not saying he can't be KO'ed, anyone can. But his chin is definitely great. Bader tagged him once really good and Jones hardly reacted. Bader has good power so that showed a lot, Shogun might have more. But no way Jones goes down from 1 punch.
I predict Jones wins in the 2nd and the idiot Pride fans come out the wood works with excuses why their hero lost. I have nothing against Shogun but I realize he's not as Godlike as his fans make him out to be. Jones beats Shogun, then as Page would say, we'll get some black on black violence when they fight. And as much as I like Rampage I don't think he'll beat Jones. And when Jones beats Rampage, we get Page Vs Shogun 2 where my man Page gets his revenge. I think a win over Shogun will get Page's mind right again.
Shogun's run in Pride was pretty laughable, half the people he beat there have more loses than wins. With the exception of a few good wins he dominated over mostly sub par competition who couldn't even make it into UFC. Not saying he doesn't have a lot of skills, he's an awesome fighter. But if you look at his record compared to Liddell or Henderson it's laughable to say he's on the same level.