Can the Bank of China logo image only be used by Bank of China?

Yes. The Bank of China logo picture can only be used by Bank of China. The right to register a trademark is based on the principle of first application, first review, first approval, first registration. If Bank of China's trademark has been registered, other banks' use of Bank of China's trademark will infringe the trademark. The rights and interests of the registrant may lead to trademark infringement disputes.