I don't think so. Several people yesterday (including me) successfully ordered one without a link. Also, Chris has disclosed (posted previously above) that while they asked Amazon to implement an invitation-only listing, Amazon turned them down because they only offer that to very large sellers moving high volumes and fulfilling through Amazon. It's not available for third-party setups like Wand.
There should be plenty eventually is all that really matters. I won't look at videos, save some of the fun for delivery day.