Rule to update site information from data input of an entityform

Is it possible (and how) to create a rule to update the system site information from data input of an entityform?

Use case: I have a site where I don't give permission for the "Site Admin" (not the super admin) to change system settings. However, ability for the Site Admin to have access to the site name, email, and slogan would be a convenience item. My thought is to create an entityform that contains the "site information" + fields for contact information (location, phone) for the business. The data would be available to views so that will be nice for theming. I will then need the "site information" to override the system settings for the "site information" variables. Can I do this with Rules?