All pages on the website are searchable by default, including hidden pages. If you need a page to NOT show up in search, there is a way to stop search engines from registering it:
However, this typically works best on pages that are new and haven't been indexed by search yet. If your page is already showing up in search, checking this box won't make it magically disappear instantly. Contact web support if you need assistance hiding a page that's currently showing up in search.