Is it possible to drill a hole through a piece of raw cat's eye?

I recently found a nice piece of tumbled cat's eye at a geo store and I wanted to try and drill a hole through the center of it and make jewelry out of it. Is it possible to drill through this cat's eye, or would it be too hard? If it is possible, is there any particular technique/drill bit I should be using?
Update: Cat's eye is a form of gemstone, it's not literally a cat's eye.
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