In the Genesis account of the tower of Babel a bunch of guys got together to build a really tall tower somewhere in the desert. God gets wind of the affair but it doesn't sit well:
Genesis 11:5-6 (ESV) And the Lord came down to see the city and the tower, which the children of man had built. And the Lord said, “Behold, they are one people, and they have all one language, and this is only the beginning of what they will do. And nothing that they propose to do will now be impossible for them.
So what does He do? He scrambles all their language as a punishment and their plans are foiled.
What was the problem with building a tall tower? Are modern skyscrapers a problem for God? Should the guys in the Burj Khalifa be worried?