Because Kiwi Scrum restricts membership to people who have a real NZ connection, there are at least two alternative groups that were formed by people who didn't meet the qualification. In these groups your interest in NZ is the only requirement.
If you SHARE a group with someone making a connection to them is a simple process. That is one reason why we should all join many groups on LinkedIn.
New Zealand Business and Professional Network - (Not Limited to New Zealanders)
Friends of New Zealand - 541 members
Here are some other popular NZ Groups
Connect to New Zealand - Sub-Group of the Open Networker Alliance
New Zealand Networking Group -
Here are two more groups with many NZ members.
Innovation People Expert Innovators Creative Network - 8900 members
If you are looking to eventually come to New Zealand, joining some of the above groups might help you on the way. There is nothing stopping you from using the Kiwi Scrum Networking Guidelines, and you should also try to make connection to the 30 Open Networkers in Kiwi Scrum.