No. The International Business Companies Act 2016 (as amended) does not require the appointment of a company secretary. It is totally optional.
It is common for overseas intermediaries to offer the service and in practice intermediaries often act as company secretaries and keep documents including accounting documents. It can be convenient for the end user clients for the company secretary to be closer to them.
As the registered agent we often also fulfil some of the company secretarial duties but we are not the Company Secretary. We are happy to prepare most statutory resolutions and other simple documents for free and we are happy to help the overseas company secretary out if one is appointed.