I definitely don't have all the answers, so the question "is God free" to do as he pleases. For me that can only be answered in what scriptures tell us about God.
The first one that comes to mind Isaiah 55:8 -10
For my thoughts are not your thoughts, neither are your ways my ways, saith the Lord.
9 For as the heavens are higher than the earth, so are my ways higher than your ways, and my thoughts than your thoughts.
10 For as the rain cometh down, and the snow from heaven, and returneth not thither, but watereth the earth, and maketh it bring forth and bud, that it may give seed to the sower, and bread to the eater:
Was God free to create mankind? Since god created mankind in his image I would say that yes he was free to create mankind.
Was God free to destroy mankind? The story in the bible of knowing the flood Shows us that yes he was free to destroy mankind.
Then there's the big one do we like to discuss. Can god go against his nature. My answer is no, But as I've already stated I don't have all the answers, I don't even know all the questions. But let's see what these guys say about it.
Is there anything God cannot do?
Is there anything God cannot do? Can God truly do anything? Does God have any limits?
www.gotquestions.org