Yes, absolutely. In a fully public voting ledger, you could manually verify each vote is associated to a unique national identifier without revealing it.

E.g., this vote corresponds to an SSN that hasn't cast any other vote, without revealing the SSN in question.

Verifiable computation. See Pinnochio and RISC Zero.

https://eprint.iacr.org/2013/279.pdf

https://www.risczero.com/

zk'ing machine learning. hide the inputs for privacy.

https://0xparc.org/blog have a bunch of cool things like https://www.heyanon.xyz/

also the S part being succinct is useful without the zk parts too!