Well, I know Slaking can... its Attack is guaranteed to be above 300 at Lv. 100, and with the right nature, another stat can be as well.
Does HP count as a "stat" by this definition? Because that could create a lot of problems... forget using any Pokemon with stats remotely close to Blissey's.
I see the point of this - EVs aren't quite as important, and you don't have to do three years of breeding to get perfect IVs. But c'mon! This takes away so many possible strategies!