I doubt it, despite the dumb headline of this article.

The very first graf of the story puts the lie to it:

Cloning humans, or any other primates, may be impossible with today’s techniques because of a fundamental molecular obstacle, say scientists trying to understand why attempts to clone monkeys have failed.

The emphasis is mine.

It may indeed be that our present cloning techniques preclude cloning primates, but the notion that it is “impossible” is utter nonsense. It doesn’t violate any laws of physics, and is most certainly possible, even if we have to get a little, or a lot smarter to make it happen.