It is possible with the dynamic version of Links using PHP (page.php?do=page) or Perl (cgi-bin/page.cgi?d=1).
Add a column to your Category table (Database > Category (Properties) > Add Column) called something like CatType with the values 'All' and 'Users'
and update your Category.html template by adding these conditions:
<%if CatType eq "Users"%>
<%if Username%>
Display this categories content/links.
<%endif%>
<%ifnot Username%>
You need to <a class="menu_links" href="<%db_cgi_url%>/user.cgi">Login</a> to view this page.
<%endif%>
<%else if CatType eq "All"%>
Display this categories content/links.
<%endif%>
Checking in the post below if its possible to validate users with the static version.
http://gossamer-threads.com/...orum.cgi?post=249562