How can I make this pendant vertical? (See related question here.)

I was given a necklace with a cute geode pendant. Love the color, but I don't like that the stone is horizontal instead of vertical.

The chain connects to two embedded rings in the rock itself.



Is it possible to to re-ring the stone even though it's electroplated?
Just thinking out loud here.

Rotate the pendant 90 degrees.
Solder hooks on the opposite side mirroring the two on the other side.
Add the new chain.
Attach the chains together with loops.
Done.