There is an option in the plugin to map Zoom hosts to WP users. Here you can map your Zoom account user with the WP user that can have meeting host access.
Once the user is mapped when they click Join via Web from the meeting page they will be able to join the meeting as a Zoom host & able to start the meeting without the WP admin access but the user MUST be logged in to your site using their WP user account, this is needed to identify the user as the host, if the user is not even logged in to your site then, there is no way to achieve this.