Can this be done and supported scripturally?
It doesn't have to be. Unlike your signature file, the church doesn't believe that no doctrine is permitted without the five solas.
In fact, I'm pretty sure we don't believe in most of the five solas, and particularly not in sola scriptura.
St. Peter and the Popes together with the world's bishops have been given the keys to the kingdom and the power to bind and loose, and that *is* essentially from scripture.
Having said that, there is a place in the bible where Jesus explicitly says that people do not commit adultery if they divorce because of the unfaithfulness of their spouse. Also, there is an interesting difference in biblical translations when it comes to Jesus' admonitions on this subject. Some translate passages as "divorce", others translate passages as a man "putting away his wife". In Jesus' time, these two subjects may have had the same meaning. They do not now.
In the old days, a man putting away his wife, or divorcing her, almost always meant that she was left penniless and homeless on the street and, in the eyes of some less evolved people of those times, "damaged goods". Women did not have the same rights as men and in many countries could not hold jobs or properties. So, when a man divorced his wife back then, he was essentially condemning her to living on the street as a homeless waif in some cases, who might easily die of starvation or exposure. In most modern first world countries, women have more rights and opportunities, there's alimony, there's a social safety net (Well, maybe not when the pro-austerity forces in Europe and the Republicans in the United States get through with us), etc..
Is it possible that in their role of interpreting Jesus' teachings for the modern world and in progressing them forward to their logical conclusions that the Pope might change his policy on divorce in light of what it means in modern society relative to the similar but different institution Jesus was discussing? Or simply say it's a sin but you can be forgiven for it without having to divorce your second wife? Perhaps. There's always hope.
Not that I like divorce, mind you. I just don't like punishing people forever.
Further, secular divorce is different from religious divorce, and the Church's acceptance of secular divorce laws in some countries without trying to overturn them even while teaching against divorce in a religious context provides a precedent for them eventually accepting civil gay marriages while teaching against them in a religious context.
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Faith is a dynamic and ever-changing process, not some fixed body of truth that exists outside our world and our understanding. God's truth may be fixed and unchanging, but our comprehension of that truth will always be partial and flawed at best." -Bishop Gene Robinson