Yes, and I think it could happen in 2016,
The bar is set pretty low by the men that have become president and even those that just ran for president.
Clearly Obama has shown that the requirements to be president do not vet the qualifications of being president. With Obama we couldn't even establish his citizen. He had no real qualifications to be president, and his record as Senator for Illinois is dismal.
While I am not a fan of Hillary Clinton, I would have preferred her to be president over Obama.
We already have many women governors, and Secretaries of State so I think it is only the women's vote that would keep a women out of the presidency.