I don't think so. I think the matter of the Dukedom of Edinburgh has been "settled" on Edward and I don't see Charles or William placing any obstacles on his youngest brother/uncle getting that title. As they both respected the wishes of the Queen & her consort. I believe the Queen will make a special provision on her third son to succeed to the title after her husband passes away. That had been the understanding all along. Just as Camilla was supposed to be Princess Consort (not Queen) as was agreed during her wedding, there is no stopping her from actually becoming Queen Camilla if Charles chose to allow her so.
You can certainly be infuriating sometimes Eric, when you choose to ignore the most fundamental of facts because you don't want to believe it. You seem to believe that a peerage is nothing more than a title which can be tossed around to whomever the Monarch chooses at his or her pleasure.
But it is not - a Peerage is a legally created and legally protected entity under British law. It was the most powerful legal body in Britain until a couple centuries ago, and because of that it enacted laws to protect its rights against the whims of the King. The power to CREATE a hereditary peerage remains with the Sovereign (although today it is by convention only exercised with advice of council). But the power to STRIP or ALTER a peerage after it has been created has not belonged to the Sovereign for centuries.
And just to further illustrate my point, your last post was also incorrect. Prince Phillip is NOT the 2nd Duke of Edinburgh, he is the 1st Duke of the 4th Creation. Calling somebody the 2nd Duke would mean that the holder inherited the title directly from an ancestor. Phillip did not - he was created directly by King George VI (making him the 1st duke of that creation).
Dukes of Edinburgh, first creation (1726–1760)Prince Frederick (1707–1751), 1st Duke of Edinburgh (1726–1751). The eldest son of George II, he was created Prince of Wales in 1727 but died before his father.
Prince George (1738–1820), 2nd Duke of Edinburgh (1751–1760). The eldest son of the first duke, he was created Prince of Wales later in 1751. He succeeded his grandfather as George III in 1760, when the title merged in the crown.
Dukes of Gloucester and Edinburgh, second creation (1764–1834)Prince William (1743–1805), 1st Duke of Gloucester and Edinburgh (1764–1805). He was the younger brother of George III, who created the title for him.
Prince William Fredrick (1776–1834), 2nd Duke of Gloucester and Edinburgh (1805–1834). He was the only son of the first duke and died without issue, thus the title fell extinct.
Dukes of Edinburgh, third creation (1866–1900)Prince Alfred (1844–1900), 1st Duke of Edinburgh (1866–1900). He was the second son of Queen Victoria and Prince Albert, and became the sovereign Duke of Saxe-Coburg and Gotha in 1893. Predeceased by his only son, he died without male issue and the title became extinct.
And finally, the current Duke of Edinburgh, fourth creation (since 1947).