Well, whether or not any of the orgs have rules strictly to this effect, would you as a member of a NPHC, NPC or NIC group even consider pledging someone who was a member or another one of those groups? I don't think many of us would - for any number of reasons. If nothing else, being a good member of any of these groups puts a lot of constraint on a member's time, and it would be difficult to live up to both obligations.
But, technically, Iotas are members of NIC and NPHC both! So if you wanted to twist words around, you could say they joined an NIC group and an NPHC group.
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Alpha Xi Delta
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