Interesting question if there is any argument from logic or reason that would change my belief in God. If you mean alter my own understanding or conception of God, I would say absolutely. One of the most influential books of my college years was a little book called If God Does Not Die. It made the point that our image of God in our minds is not God, although we have difficulty separating God from who we think he is. But knowing that we know that if we are to grow in understanding of God, our God must die. From time to time. Again, it is not God dying, but our faulty and extremely inadequate ideas.
One example of how my own image of God has been pretty radically altered in the last couple of years, thanks largely to engagement on Medium, is exposure to the ideas of mind or the mental being primary. Like most, I have a matter first mentality or worldview and that is changing. That alters significantly my understanding of God, which I am exploring right now in posts I am working on.