Yes, in Bitcoin, they were known as Cassaceous coins.
They are physical coins with the QR code for the address to send Bitcoin to on them and the private key was hidden under a hologram. And if the hologram was scratched off, you know that the coin had been used and that it wasn't worth anything.
As long as that hologram stayed intact though, you could guarantee that the coin actually had the amount of Bitcoin that it said it did on it.
And yes, you could very well do something similar for Monero.