If you are using the Liferay platform's default classic theme when creating a page template, the search and navigation portlets are added by default. You cannot move or remove those portlets from the page template.
Resolution
Because the page template is taking from the theme along with the embedded portlets, it is intended that these portlets have fixed position and cannot be removed. The workaround is to change the default theme to a theme without the embedded portlets.
1. Navigate to Control Panel > Configurations > Instance Settings > Miscellaneous > Default Theme
2. Choose a theme that does not have the embedded portlets on the page.
3. Save the change and create a new page template.
Please note that new site and site template will also be impacted by the instance's default theme. You may change the default theme back to classic theme or your preferred theme if you don't need to create more page templates.