Not in any way that is inconsistent with an evolving universe, actually. Sure, an observer may exist at some coordinates in 4D spacetime where they are detecting light from Sagittarius A that in our frame is 1000 years old, but also light from the Sun that in our frame is 1000 years from now. But that observer cannot be meaningfully said to be either in our present nor in our past. And if we ever "meet" to discuss our observarions, it is guaranteed that it will be no less than 1000 years from now, after we also see the sun evolving. We'll essentially only disagree about how old the light from Sagittarius A was.
Most importantly, SR is not consistent with any ordering of events that breaks causality. If I drop a mug and it shatters, no observer can see the mug shatter and then see me dropping it. So, there is no reason to believe that the shattered mug already existed somewhere in space time when I dropped it, though there is also no reason to believe that it didn't.