Nope - not a dogma.  In fact the pope before John Paul II spoke openly about possibly ordaining female priests so we know, if only 2 popes ago, a Pope was publicly considering ordaining women to priesthood, and Jesus does not state we can treat women differently than men, which he didn't, then there is no scripture support to keep this abuse in place, and because John Paul II was told that he had no basis for making this exclusion a dogma, and that is why JPII didn't claim it was a dogma, nor could he because it doesn't have a basis necessary in scripture or historical agreement of all bishops, then it can't be a dogma.  

Doctrines and traditions have changed in our church history.  We used to own black slaves too and only 200 years ago.  Sin must be repented of whether in the form of tradition or doctrine or Jesus tells us he will deny we belong to him.  There is no salvation from Catholicism unless it is first Christian.  Also Pope Francis never confirmed that.