No. Approval for a Home Occupation from the County provides the property owner permission to conduct a proposed activity on a specific property. It's intended to prevent a business from adding significant traffic, noise, or other zoning concerns such as dust or odors that would interfere with the surrounding homeowners' use and enjoyment of their property.
This is not the same as a business license and it does not confirm or acknowledge that someone is conducting a business from a taxing standpoint.