I am unsure of the capacity of a designer, constructor, what label you want to call an input. To have noise there must be an initial force to create it regardless of its structure, randomness, pattern, form. A big bang, literally anything we may never know. But if the universe was static and blank with no energy or anything just a black sand box. There would be no noise until a reaction happened.
I have never seen something come from nothing. I don't think anyone has ever or this question wouldn't have been asked or even be in our consciousness.