Can a License Journeyman have his own business? I was in the process of registering DBA with the County Clerk , but was trying to inquire? I would be doing small electrical jobs?

What state are you in? This is what I found.

https://www.sba.gov/content/register...iness-dba-name

The legal name of your business is required on all government forms and applications, including your application for employer tax IDs, licenses and permits.

How to Register your “Doing Business As” Name
Registering your DBA is done either with your county clerk's office or with your state government, depending on where your business is located. There are a few states that do not require the registering of fictitious business names.

The short answer is YES, you can start your own business, even subcontract yourself to other contractors, however you cannot get a permit if one is required for any project.

Licensing and business requirements are subject to local laws. You need to check with your local dept of commerce or similar agency for those requirements. I would also check with score.org and sba.gov for advice.