You can date the rocks, maybe..... but the mountains? No.
Many of the mountain ranges, for instance, are geologically young. It’s easy to see, with the extent of erosion — or lack of, I should say — they display: There are quite a few ranges, that obviously existed prior to the Flood....their peaks are eroded, and have rounded features, from wind and other elements.
But many ranges, for example the Himalayas, have sharp and well defined features despite the extreme elements they endure, thus revealing a young age, geologically speaking. Sharp and well-defined features wouldn’t be observed, if these ranges were millions of years old, given the amount of elemental forces they face.
(It’s easy to see this evidence.)
The current topography of these ranges occurred, IMO and others’, when the ‘vast underground springs broke open’ according to Genesis 7:11, part of geologic events that caused the Flood.
I think it’s not so much that these ranges were elevated, but rather, the Earth basically imploded slightly, from the “underground springs” emptying. This would agree with Psalm 104, particularly what a ground observer would notice, from their standpoint....that’s how Genesis 1 was written, as you are aware.
There’s so much we can learn from the Scriptures, regarding Jehovah’s actions!
Take care.