Michael Ruse famously asked the opposite, whether a Darwinian can be a Christian. But the opposite question is the real pressing issue. Here is what I wrote in a comment on Michael Kruger’s blog:
I don’t think that any view which misrepresents evidence the way young-earth creationism and Intelligent Design do is compatible with the moral teachings of Christianity. If you reject the clear teaching of Jesus about truth in order to defend that ancient human beings were somehow prescient in their knowledge of modern science, there is really no way you can seriously call yourself a Christian.