No, there are no exceptions to this rule. Each of the programs under Express Entry requires the submission of third-party language results. You will include the results of your test(s) in your Express Entry profile. Canada wants to assess all applicants against the same standards, no matter their language of origin, nationality or ethnicity.
Even someone from an English-speaking country, who speaks English as a first language, would need to take the test. Similarly, someone from a French-speaking country, who speaks French as a first language, needs to take a test.
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.