I doubt it. Christianity is about 'the father'. It sees ascension (rising up to heaven) and Light as 'holy'. In Cthonic religions such as ancient Greek cults like Elysian mysteries, ancient Welsh to a certain extent, Hatshepsut religious changes when she rebuilt Karnac and founded valley of the kings etc. the opposite is true. In these types of religions light represents total annihilation while darkness represents creation. The earth is the source of life, not the heavens. The earth is where food grows from, and it is dark down there so there is some sort of creative force associated with the feminine. In essence the earth is a womb, dark and creative.
As long as Christianity has these masculine focused worldviews it is difficult to move towards a female Pope. Also I often wonder why certain countries such as Germany are the 'Fatherland' while Russia for instance is 'Mother Russia'. Is it because predominantly defensive walled cities represent the feminine while raiding aggressive cultures that penetrate the walls are masculine?
Another question in this vein would be, "Have we ever had a female Pope?" I vaguely remember my mom's feminist book-club getting really into this topic, and there was a Pope in the past they believed was actually a woman pretending to be a man. Also I would check out the movie Agora, it shows how Hypatia was executed and the dark ages began. She was a wise woman that men turned to for counsel but was executed as a witch because according to Saint Cyril, women are second class citizens.