Yes it seems likely that most of the creation material is taken from Genesis but it got somewhat muddled around...
But the bible version start like this:
In the beginning God created the heavens and the earth. 2 Now the earth was formless and empty, darkness was over the surface of the deep, and the Spirit of God was hovering over the waters.
So AFTER there was an earth, God was above the water, which was on the earth.
The Qur'an starts with the throne, which leaves you wondering where the water came from, as the hadith says.
Genesis starts with the creation of heaven and earth. Then creation is a gradual move from chaos to order.The main message of Genesis is that God is the creator of all that was, is or will be, and that his creation is GOOD. In itself the beginning of Genesis is a poem as can be easily seen even in the English text,for example it has a chorus line: "and he saw that it was good"
I would not suggest that the bible has any claims to teach cosmology, the creation story merely wants to express the belief in a benevolent and caring creator God. The cosmology is supposes would be the one in common use at the time. And it would asking too much to expect scientific rigor in a poem.
As the Jewish God has no body, any mention of a throne in other texts is merely an allegory, and only appears in songs, like the psalms or visions. In Islam, Allah's throne is not an allegory. He made his throne. Then he made the earth. The throne is therefore as real as the earth. So it is fair to ask how Allah uses a throne.
In fact, the references to creation in the Qur'an are fragmented and wooly, contradictory even. The Qur'an merely ASSIGNS fragments of the biblical creation story to Allah, in a feeble effort to make him appear to be the same God as the God from the bible. The Qur'an cannot even plagiarise properly. While the bible wants to teach something about God and his good creation, the Qur'an's purpose of relating the story at all is to write Mohammed into the line of biblical prophets, by pretending his Allah is also JHWH.
The Genesis line "the spirit of God was above the water" ends us with some kind of throne being above the water. "The spirit of God" is not an attribute of God, but a poetic description of God. God is a spirit, a being without a body. Somehow that got all mixed up and we have a "throne", a piece of furniture above the water instead.