Sure, but you have to pay a fairly large fee for every transaction and since it's public the process of sending takedown notices can easily be automated. Are the bragging rights for a receipt really worth playing that game until you run out of money even if you do live in a jurisdiction where you can do that indefinitely without consequence?

What I mean is, the NFT is implemented on a blockchain and holds the hash of the jpeg, but the jpeg can be hosted on a regular non-blockchain filesharing network for free. If it disappears then the NFT holder can just post it again, also for free. You only pay blockchain fees when you transfer NFT ownership.

The jpeg could be on IPFS, bittorrent, freenet, whatever. Look it up by hash and verify the hash after getting it. If takedowns are a problem, use the more censorship-resistant options.