yes it is possible
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The OP said with same privs, so I assume that doesn't mean read only?
Also bear in mind that the setup within EBS may preclude non-apps users from querying HR secured data without that user being set up as a reporting user.
Can u provide more details on your requirements ? What is the purpose of an account same as APPS.
Bear in mind that apps user ( as others have pointed out ) is a standard EBS account and u need to make sure that u don't compromise on the application integrity and security.
Creating an account is not an issue. U can easily pull the account creation script that will include all the privileges it has , modify the script and then create another account .