If I am allowed to build something that cannot exist then I too can violate the laws of physics.
Literally, you missed the rest of the sentence:
There's nothing in Einstein's theory that precludes time travel into the past, but the very premise of pushing a button and going back to yesterday violates the law of causality, or cause and effect.
More accurately than the previous post, the calculations in general relativity that this article is talking about are essentially loopholes that are closed by our understanding of the quantum world. You could argue that general relativity, if you literally ignore every other piece of physics, would allow backwards time travel potentially but it doesn't live in an isolated frame. This is like suggesting that you could potentially walk across the Atlantic Ocean because ice exists; whilst this is true the Sun also exists as does the wind and a million other objects.
Michio Kaku is possibly the least respected science communicator on the entire planet and consistently tells people sci-fi.
https://www.quora.com/What-do-physicists-think-of-Michio-Kaku
http://scienceblogs.com/principles/2013/03/19/against-kaku-ism/