Hmm… Fun, delightfully horrifying idea, but it seems unlikely unless she’s able to manipulate the brain-like functionality of the gems, which seems a bit too subtle for Shatterbird. After all, the bodies of the Gems consist of hard light, not whatever their gem is made of.
(Incidentally, I don’t think Shatterbird would be able to shatter Peridot’s visor, because it’s part of the hard light projection that makes up her body.)
Though there is a case to be made for her making use of the lingering partial consciousness and powers in the shards.