No, I don't think so. It's pretty rare (for most users) to ever turn their device off and on, anyway (whether it's a phone, tablet or wearable), unless it's part of an attempt to fix a problem.
Notice how instead of saying "turn off and on" or "reboot", people have starting saying "soft reset" and "hard reset", which are terms which suggest it's not something you would or should do on a regular basis. Sometimes there's also confusion or debate over whether any data is lost during a "hard reset" (since sometimes that term is used to refer to a "reset to [factory] defaults" operation).
The only type of CIQ that will run automatically is a watch face. Turn on the watch and the watch face you'd selected starts. You can't auto start things like widgets and device apps, but if they have a background service, the background should run
