Not on the licence alone. Either obtain the renewed membership record before travel or rely on the degree as the credential. A pending renewal is not a current licence.
Sequence the credential before the calendar
Provincial licences renew on the regulator's schedule, and a lapse or pending renewal at the moment of application leaves the licence route unsupported. If the renewal will be confirmed before the start date, wait for it. If the expansion schedule cannot move, switch the file to the degree route, which requires the transcript and diploma and, for an institution in Canada, Mexico or the United States, no evaluation.
Do not present an expired card with an explanation that renewal is in progress. Employers sometimes assume a Canadian can appear at the border on any day; that is true only when the record is complete. Once the credential is settled, a Canadian citizen may apply at a port of entry, or the employer may file Form I-129; no particular processing time or outcome is guaranteed.
Plan the family's move and any lease around the confirmed entry date, not around the plant's target date.