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No, it’s not. The admin search is, by default, available to everyone with the edit_posts capability, which includes contributors. It doesn’t grant anyone any access to something they otherwise wouldn’t be able to access.
If you want to restrict the admin search, you can use the relevanssi_admin_search_capability filter hook to change the required capability. If you want to restrict it to only authors, use publish_posts; to editors, use edit_others_posts.
add_filter( 'relevanssi_admin_search_capability', function( $cap ) {
return 'edit_others_posts';
} );