NO. If you have applied to restore your status as a worker in Canada, you may not work while you are waiting for it to process. You can commence work only AFTER your status as a worker has been restored.
“Foreign nationals applying for restoration have lost their status and authority to work or study. They may not continue to work or attend school until their status and authorization have been restored and a new work or study permit has been issued.”
Call 604-260-5002 if you are concerned about your status and need professional advice.