Took a quick peek in your manual last night and did not see any "feature" that supports this.
Power on by mouse, keyboard, WoL, etc.
What might work, and its a big might is the resume after power failure to "on". I also do not know how ErP might affect this behavior.
This is not the intended use case of this feature. I have not tested this and couldn't tell you with certainty if it might work with your "smart plug" and phone app.