During Elizabeth I's reign it is possible. She most likely inherited a predominantly Catholic kingdom, and in fact, when she did began to reform the Church of England in a Protestant direction, there was a serious shortage of qualified clergy. Many newly ordained clergy in the first half of her reign were ignorant of basic notions like the Lord's Prayer. I would imagine that many Englishmen were not overly impressed by these new men of the church. If Elizabeth had died in say, the 1570s, when the Church of England's foundations were shaky, the country could have reverted. (With James VI of Scotland being young at this time, there wouldn't have been a clear Protestant successor, either.)
But Elizabeth lived on, the incompetent clergy were gradually replaced with qualified ones, and with the help of people like Foxe (with his Book of Martyrs) she was able to develop a powerful narrative in favor of Protestantism and against Catholicism. By the time she died, most Englishmen had no memory of the country being Catholic and had been exposed to years of propaganda against that faith. (Remember that under the Act of Uniformity, all Englishmen were required to attend church weekly.) From 1603 onward I think it is difficult to revert England back. Even if something like the Gunpowder Plot succeeds and a Catholic person takes over the throne, there almost certainly is going to be a massive revolt and civil war.