No.
She is the Mother of God, but only because God became a human. Because God became a human that had the effect of infusing the Divine Nature into all human beings. Some human beings reject this infusion and prefer to remain not even as humans, but animals unable to appreciate the glory of God. These are the damned.
The elect have been given the honor of becoming Sons of God and partaking of his Divine Nature. Therefore, we can be called gods after a fashion. It is even written in the Psalms, “you are gods”, and Jesus Christ cites this in the Gospel of John, when the Pharisees object to the fact that he called himself the Son of God.
So no, she does not possess the Divine Nature in and of herself. She is not co-equal, consubstantial, co-eternal, and co-powerful with the Three Divine Persons of the Holy and Life-Giving Trinity. Hence, we cannot call her “Goddess”. She is not the source of any of us. God is the only source. He is her source and Father. He gave her the extraordinary grace of being the Mother of His Only-Begotten Son. This did not confer on her the right to be Goddess, but merely revealed her as one of the Most Blessed of his children.
Because of the new union of divinity and humanity within the Godman Jesus Christ, all man are able to be gods. Not to be gods like the Mormons believe, and certainly not God as the Father, the Son, and the Holy Spirit are God, but we will be like them. For he who was immortal became mortal, and now we who are mortal will become immortal. He was was life suffered death, and we who suffer death now gain life through it. That which was divine became human, and now that which is human will become divine.
Because we partake of who he is and live with him in perfect communion as his Sons and Daughters, we may be called gods after a fashion, and St. Mary, the glorious, All-Holy, Immaculate Theotokos, is the brightest goddess among us.
But she is not Goddess.