Can a business transfer ITC from 1 branch to other?

I my view you have to take registration as ISD, for distribution of ITC,
for more you should consult with you Consultant

You cannot transfer ITC from one office to another office unless it is in way of merger and sale of business.

In case of transfer of business by way of sale of business, merger or demerger, a registered taxpayer can transfer the input tax credit unutilised and available in his electronic credit ledger into another business by filing a declaration in Form GST ITC-02.

You should take the advice from your consultant.

No, you cannot transfer the same
For further opinion, you can contact me on mujdoi @ gmail.com

Legally, you can't..
ya, but...there is some ways...

It is not a correct procedure