Can I have the search module search only pages that the users have access to?

Issue Summary

I am working on using Drupal to control and manage the online help module. The module needs an incorporated search feature to help users search wihtin help topics by keywords.

But in our application, page views are restricted based on user permissions (meaning users will only get to see help pages for features they have access to). So when such a user uses search, I I need the search to be limited to the pages that the user has access to.

Is there any way to get this done?