Keep in mind that anything is possible if the Cosmological Principle turns out to be false, and if we can travel far enough to escape our local zone.
For example, there might turn out to be particle types which don't exist at all in our zone, but which are force carriers for forces that enable time travel or other violations of causality. We might have evolved in a zone with zero of these particles simply because it's hard for life to evolve in a zone without causality. Our zone might be a life-friendly little bubble beyond which things get truly strange, but where with appropriately designed nanotechnology, we might achieve incredible things we've never before observed, including changing the past or even stepping entirely outside of the fabric of spacetime into someplace with more or fewer spatial dimensions.
https://en.wikipedia.org/wiki/Cosmological_principle
So, 1 in a million is my approximate a priori estimate of the odds of the Cosmological Principle being false in a useful way.
For a fun example of fiction that takes place in a setting where the Cosmological Principle is false, check out A Fire Upon the Deep by Vernor Vinge. The zone where Earth is situated, and where the laws of physics are the same as in our observed reality, is called the Slow Zone. There are three other types of zones with other laws, called the Beyond, the Transcend, and the Unthinking Depths.