Maybe, but that requires a totally different cultural situation than that which existed at the time. You would need basically a wholesale rejection of Church law and norms in a nation where Christian life effectively was still central to culture. Or the church leadership defying their own superiors to make common cause with the tiny percentage of non-Christians who exist within their territories and are generally seen as outsiders.If polygamous relationships become more accepted or legalized in secular society, it might create a tension between the Church's teachings and the lived realities of its members. This tension could prompt a reevaluation of the Church's position and a potential shift towards accepting polygamy. Or perhaps if there were significant ecumenical efforts to find common ground and promote unity among different faith traditions, it might lead to a reexamination of the Church's teachings on marriage and potentially open the door to the acceptance of polygamy.
Henry’s actions worked partially because it didn’t massively affect the part of Christian life and experience that most people engaged with. Later Protestent uprisings promised improvements in the part of Christian life that most people engaged with. Adding polygamy to the Anglican creed would do little for the average Christian but require a significant upheaval that would affect them. Just so the King could have more women.
It’s unlikely to go down smoothly.