Yes, it would. In cases where measuring equipment is being used at significantly different temperatures than at calibration, correction factors should be applied. Also, the temperature of the part itself should be considered. Often, especially for close-tolerance parts, it's appropriate to allow "soak time" to allow the part to stabilize at temperature before measuring.
The AS9100 standard (ISO 9001 with additional requirements for aviation, space, and defense) clarifies with this additional requirement:
In Reply to Parent Post by AS9100 Rev C
The organization shall ensure that environmental conditions are suitable for the calibration, inspection, measurement and testing being carried out.
The Medical Device QMS standard ISO 13485 (also based on ISO 9001) clarifies with these requirements:
In Reply to Parent Post by ISO 13485
If work environment conditions can have an adverse effect on product quality, the organization shall establish documented requirements for the work environment conditions and documented procedures or work instructions to monitor and control these work environment conditions
Of course these aren't specific requirements of ISO 9001, but should be considered for guidance.