Nope. That God exists outside of time does not absolve Him of falsifying the existence of things that exist only within time. If God intentionally made something so that it necessarily appeared to be older than it in fact is, then He intentionally created a falsehood, which is what liars do.
There are no two ways around the question, and no amount of hairsplitting will finesse it.
You say He falsified something. I would say our perceptions may be in error first. I dealt with the relativity question above. His six days might seem different here. It is a human assumption, in fact a fundamental axiom that all the processes we currently have observed have been and always will be constrained by the apparent constraints of time and other interactions that we observe and have observed in a very short time span.
We are limited in our perception.
The two different balls of different mass may have hit the ground at the same time on Earth, dropped from a tower in Pisa, but if you released them at the same time in space, the big one would get there first.
Why? Because it's slightly greater mass would cause a slightly greater gravitational attraction, which would cause a slightly greater acceleration, which would decrease its transit time relative to the smaller mass.
Even our axioms fail outside the realm of our limited perceptions, and we don't even know how to measure all the fundamental forces we perceive yet, or we'd have a far better understanding of time and gravity.
In short, our best understanding of our surroundings is still not good enough.
