Yes. Two different ways to do this. You can start with a page that has a map that shows all your entries using the JMaps category mapping function. You  can show this on the SOBI2 main page, or on a page with information about your directory. Use the SOBI2 search module on that page to provide search functionality. When a user searches in the search box, the search results will display on a search page that can have the JMaps function on it that is set to show search results.

The SOBI2 search module is a paid component from sigsiu.net Do not publish a JMaps instance to a SOBI2 search page that is set to show category mapping results.

The other way to do this would be to use a special search link from the menu to invoke the search function to load all entries. The first method is preferred.