Well, i think that we can state that everything, that isn't nothing, can change. It is even possible to bend (and therefore change) time, because time and space are one.
As far as nothingnes goes, it can't exist in our universe as we know it, because if we follow the laws of physics, nothingnes can't exist next to something. Even black holes aren't nothing, because they have actual mass.
Now for your question. I don't know if i'm going too far, but everything that is something HAS to change, even if it's just an almost unmeasurable change. Just a gust of wind of 0,0000000000000001 mph
will inevitably change at least one atoms position a bit. And everything in the universe is bound to be exposed to some kind of movement. I stated earlier that nothingnes doesn't exist in our universe, so unless there are other universes out there with different laws of physics(if there even are any) nothingnes is unchangeable, as it can't be next to something, and there therefore is nothing to change it.
So this is my pretty unqualified reply. I probably say alot of things in this that i don't really know much about so don't be too harsh...