Could God make a Grand Canyon with layers of different “carbon datable” content?
Probably. Why? Why not? Did He?
Carbon dating doesn’t work beyond 10’s of thousands of years...
We have a recent example of how the Grand Canyon and its layers formed - the eruption of Mt St Helens gave us a “mini grand canyon” which formed rapidly from layers laid down in the eruption followed by carving out by rapidly moving water.
A similar but larger catastrophic event formed the grand canyon... the Flood, or more accurately, the retreat of the waters after the flood.
Carbon-dating only works with once-living mater.
Moreover, the half-life of C-14 is about 5,730 years; this limits the number of detectable half-life decays setting a dating limit of around 58,000 to 62,000 years.
Could He? well, God is all powerful… He could turn rocks into bread, so doing something like you're saying would qualify as a supernatural miracle of the same order.