Goods sent for Job work by Principal place to additional place of business in other state

Yes ITC-04 is mandatory in your case

Job worker must be there. the principle owner himself is not a job of worker. the places of work may be different for the different manufacturing processes. considering the basics it cannot be job work... as per act someone has tech different registration if the state is different.. one place may be the principal place of business and other may be the branch but not the job worker... but material accounting must be there properly so that government revenue does not leak..
this is my opinion.. other experts may comment on it

If in separate states there will separate GSTINs and each GSTIN is considered separate person even if they belong to the same PAN

Where any person send goods for jobwork, he is required to intimate in Form ITC -04 to the department. Also, He is required to be issued E - Way bill irrespective of value since it is a case of interstate movement of goods.

ITC - 04 are compulsory, irrespective of fact that principal and jobworker are distinct person or not.