Looks like charter companies from Inuvik fly into the abandoned Komakuk Beach airport and Old Crow has a web site that implies people at Old Crow might be welcoming.
There are references to a free "Parks Canada Aircraft Landing Permit" but the link for Ivvavik references archaeology, specimen collecting or research.
Access to Vuntut National Park "may" be obtained from the John Tizya Centre in Old Crow but I can't find anything similar for Ivvavik.
Thanks