I'm not sure if there is an official relationship. Since an ORCID is essentially a specific type of ISNI, you can record an ORCID in an 024:
From the MARC standard:
Acquisitions and Discovery Enhancement
Dear PCCLIST readers,
Can someone knowledgeable about ORCID please comment on its relationship, if any, to the NACO program? Please reply preferably to PCCLIST.
Sincerely - Ian
Cataloging and Metadata Services Librarian
George Mason University