No, I do think you can do different ways of telling a story with a cyberpunk style. I just think it's easier to tell the story from a single character and their past, mainly because it shows the degregation of the world around them. Like when you're kid, you think the world is content because you don't understand how it works yet. When you get older, you notice the little things but it doesn't bother you. At around 20, you realize the world is always against you so you have to be against it. The two forces constantly battling for a balance, like with everything else.
Cyberpunk is subjective in some ways, like how with suspense, there is suspense and Hitchcock suspense. There is a style or brand of it that's easily noticible. This is my own kind of style, or at least how I interpret it. Much like how Tarantino uses Non-Linear story-telling for Kill Bill and Pulp Fiction. It's how he tells the story and it works.
I think that's the real challenge, because there is so many different forms and styles of cyberpunk (Pondsmith's Cyberpunk 2020, Gibson's Neuromancer, Masamune Shirow's
GitS, Sam Esmail's Mr.Robot) that it's hard to make those connections and determine it fully. But if you looked at Noir films, you'd notice that they have similar items, but they are entirely different. Like Chinatown and Blade Runner. They are alike in some ways, but different in others. Most people can't even pinpoint EXACTLY what those similarities are because they're so subtle.
I apologize if I cause any confusion, it's very late for me and I'm very tired.