Really? Generating crytographic public keys, encryption, decryption, signing, ring signatures, Merkle Trees, cryptographic hashes, all this depends on blockchain? WOW!
So, to answer your question: no, those things don't depend on blockchain, but they're also not "crypto", according to the current usage of the word.
[0] https://moxie.org/2022/01/07/web3-first-impressions.html
https://community.intercoin.org/t/web3-moxie-signal-telegram...