The scope of an organization certified against ISO/IEC 27001 states that they provide editing and...

Yes, a change in the scope should be initiated because outsourcing a significant part of the service, such as technical support related to web hosting, could impact the risk landscape and the controls needed to manage those risks. This change affects the external environment and how the ISMS operates, necessitating a scope review and possible adjustment.

References: ISO/IEC 27001:2013, Clause 4.3 (Determining the scope of the information security management system)