This is possible currently with zero knowledge proofs.
There are mainly two different types one is "selective disclosure", where the verifier require some fields but it is up to the Holder to select which one to disclose.
The other one allows the Holder to create proofs about claims, like "I am over 18" without disclosing the birthday. The cryptography for this seems sound, but to be honest it is hard to grasp.
For a working example you could have a look at this:
There are mainly two different types one is "selective disclosure", where the verifier require some fields but it is up to the Holder to select which one to disclose.
The other one allows the Holder to create proofs about claims, like "I am over 18" without disclosing the birthday. The cryptography for this seems sound, but to be honest it is hard to grasp.
For a working example you could have a look at this:
https://github.com/mattrglobal/jsonld-signatures-bbs
Note: Auth0 currently doesn't support neither issuing or verifying this type of credentials.