Yes, but only after you've already updated the firmware on your burner using the app (requires internet). In offline mode, all smart cooking functionality will be unavailable. To be clear, the Hestan Cue app will not function, which precludes the use of guided cooking recipes and control mode. You'll be relying on your own natural cooking abilities.
To cook, touch the Power button to turn on the burner. Then, touch the Power control bar on the burner, and slide to your desired power setting. Slide left to lower power settings, and slide right to raise power settings.