Salesforce Integration - Multiple Root Folders

Is it possible to setup a different folder access based on RecordType?

For instance, I've got my Root Folder set (All Files > SF Integration)

Is it possible to setup the system so that from there it would drop my folder structure into different folders based on RecordType?

All Files > SF Integration > Client Accounts > "Account Name"

All Files > SF Integration > Partner Accounts > "Account Name"

If that is possible - is it also possible to set rights based on that subfolder (Client accounts vs partner accounts) - I've got two teams of folks that shouldn't be viewing each others data, but management would really like to keep everything in Salesforce and Box....