For assurance engagement, per ISAE 3000 Assurance engagements:
“The practitioner should implement quality control procedures that are applicable to the individual engagement.”
For reviews of historic financial information ISRE 2400 has a section “Engagement Level Quality Control”.
All requirements for quality control are based on the same principles – just made more relevant to particular circumstances. So for example quality controls over independence are not relevant for a non-assurance engagement – but there will always need to be quality controls to ensure competence.