No, because it has decided to exempt online broadcasting from regulation. Having decided to exempt, it's asserted its jurisdiction. It does have jurisdiction over broadcasting online. That's not to say that it has jurisdiction over the entire Internet, just broadcasting.
Evidence of meeting #24 for Canadian Heritage in the 44th Parliament, 1st Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was crtc.
A recording is available from Parliament.