No, Byzantine Empire was broken by battle of Manzikert in 1071, and then by Fourth Crusade in 1204. After that it was hardly an "Empire" any more - it was a minor country surrounded by much bigger powers.
And the plague story doesn't work at all - Byzantium fell over a century after the plague.
Meh, maybe.
Analysts of humanity's future sometimes use the word "doom" rather loosely. ("Doomsday" has the further problem that it privileges a particular time scale.) But doom sounds like something important; and when something is important, it's important to be clear about what it is.
Some properties that could all qualify an event as doom:
Examples to illustrate that these properties are fundamentally different: