No. An internal auditor trained in the requirements of ISO 9001, the quality system standard, is not equipped to audit against the requirements of, say, ISO 14001, the environmental management system standard. This is for the simple reason that the two standards have very different objectives and significantly different detailed requirements.
So, an ISO 9001 Internal Auditor would need additional training (an ISO 14001 Extension Course) before they were capable of conducting an ISO 14001 audit.
That being the case,