No? But the great British Empire of Kipling, Stevenson, Haggard and cia.? The hero of Carlyle?
The great kings, from the Shakespeares Henries and cia., to the Arthurian themes, Elizabethean allegories, even a victorian age? The chivalirty of Walter Scott?
The great American Novel is the attempt of America find his "founding" epic on novel form, it does not work in english because their have it already. They have Milton and his great christian Epic and Chaucer and his pilgrims.
And really? Because Shakespeare and his kings are typically english. Chaucer and his pilgrism too. Milton reading of christian themes is not exactly italian or roman catholic. Pope humor is completely Monty Phytish. Jane Austen irony?Lord Byron nobility and rebelion? Kipling? The good morality of Steveson? The adventurer Richard Burton? The victorians Brownings and Tennyson?
I am sorry, but England is filled with writers typically english which take us back to england all the time. As an Empire it is world wide, it did had influence all over the world, but still imposed its own culture.
Meanwhile, you have americans writting about Spanish Civil wars, you have Poe (not so american), the gothic and germanism in Washington Irving, Henry James that is almost british, Mark Twain writing about Joana D'arc, Ezra Pound... well, even Melville and his ubber democratic Pequod, is universal as it gets. Luckly Faulkner is american, he could be from anywhere, the same can be said about Hemingway.