Yes, there is away. See below:

- Go to "Site Permissions"
- Click on menu "Permission Levels" under Settings
- Click on "Add a Permission Level"
- Define new permission level with the access authorty you want to
- Then create new group(s) for your admin and you can assign different
permission levels that you have preset to the admins  group(s).

You can do this as many as you want.

This will work for any admin group EXCEPT the Site Collection Admins. Site
Collection Admins are hard coded to have Full control plus some additional Site
Collection permissions  not referenced in the normal permissions list. Also,
although Farm Admins can be restricted in this way they can always make
themselves the Site Collection Admin or give themselves permissions at the Web
Application level and counteract any permissions you set.