I said yes, and the main reason is because of Mary Magdalene. She was clearly incredibly important to Jesus and one of his closest disciples. (After all, she was one of the first to see Jesus risen.) It is not a stretch to assume she had a position of importance in the early Church as well. If she could have a high place in the Church, why not any woman who cares about Jesus as much as she did?
Historically, society has been incredibly patriarchal and women’s roles have been suppressed and the instances where women’s roles were not suppressed have been purposely erased from public record. We simply don’t know if women had priestly positions early on, and therefore we can’t just flat out assume that they didn’t. (The fact that women priests aren’t spoken of in the Bible just isn’t enough for me, it’s a known fact that people like Paul were staunch mysoginists, not to mention the men who put the Bible together later.)
I’m a realist though, so I know this probably won’t happen any time soon. I highly doubt it’ll even happen within my lifetime, unfortunately. But I do believe in my heart that it will happen, and I think it will be a good change.
(Please, no flames. You asked for opinions and mine was sorely underrepresented. I only ask that you realize that not all Catholics are of the conservative type and that the Catholic Church is big enough for us all.)