There is nothing to stop God from doing such. I never claimed there was. It's just that you then have to choose one of the following:
1)You accept the Earth as being 6K years old and reject any and all benefit from science, since God is fooling us by misrepresenting the world/universe around us.
2)We do not know, nor can we begin to fathom God's design of the universe. We have a creation story, a parable like many of Jesus' parables, that fit well into the thinking of men 4 thousand years ago. God gave us a brain to understand the world around us and a natural curiosity to explore. We are doing such and learning much about God's creation. But they are not mutually exclusive, as some here would have you believe.
Bravo!