Can ICBC online banking SMS authentication be opened in different places?

Yes, it can be opened in different places. It is also free to show the cardholder's ID card and bank card.

As for what you said, although it is very unlikely, it does not rule out special circumstances. You can ask the manager of the bank to come forward and give you an explanation. You can ask them to contact the superior business technical support department. Of course, you can also call ICBC customer service directly to make a complaint.