Already done a couple of years ago without the use of Ordinals as they did not even exist at the time.

At the end of the day, transactions are just bytes, and it is possible to stuff a bunch of data inside the transaction which is never evaluated. Most of the time this will make the output unspendable (pre-ordinals), but storing data on-chain is becoming expensive, so it will probably be restricted to storing malicious payloads which can be downloaded and ran to hijack a system, rather than attack the protocol itself.