I am not sure what you are asking. Do you mean that your name is already a registered business, and whether you can register yourself under another business name?
From what I understand, you can give your business any name you want as long as it complies with state regulation.
Hi Delmar. In most States you can have a registered name AND a dba name. Contact your local State Corporations Department and ask this question. They are usually very helpful.
I hope that this helps.