No. A license is not transferable to another entity. You would be required to apply for a new license or a second additional license (if you want to keep the other license active).
You may transfer or change to a different mode of operation. For example, change from a Sole Proprietor to an LLC. You cannot contract in the new mode until the license has been approved through the revision process. A revision form can be found under Forms and Downloads. - See more on our website.