No. Under the Canadian Experience Class, you must have had temporary resident status and the proper work or study authorization when you gained the Canadian work experience or educational credential you are claiming.
Refugee claimants who have authorization to work or study while waiting for a decision on their claim do not have temporary resident status and cannot apply under this category.
Note: Completing an Express Entry profile is the first step to immigrate to Canada permanently as a skilled worker. Completing an Express Entry profile does not guarantee that you will receive an Invitation to Apply for permanent residence. An Invitation to Apply for permanent residence will be based on your score and rank in the Express Entry pool using the Comprehensive Ranking System.