Yes, assigning users with the Business User Permission will allow you to enable/disable them from receiving the 'Admin Reported Incident' email notifications.
To do this, simply untick the 'Incident Email Access' permission when applying their permissions (see below).
Please see the following Knowledge Base article for more information on how to edit MyCompliance User Roles and Permissions.
Please note: the Reported Incident Email Notifications cannot be disabled for those users with either the Admin or DPO permission.