I need to set up a new page that current members can see but which new members can only see (that is particular invited members can only access this page and not the rest of the community). Is this possible?
You labeled this with JIRA so i assume you are talking about a JIRA project. In JIRA permission schemes can be added, which can be controlled by groups. This can simply be applied to create a project which just your handpicked people can see. This page describes the process in detail:
https://confluence.atlassian.com/jira/managing-project-permissions-185729636.html
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