Probably not. If you don’t like a channel just don’t watch it.
That’s what I do, well, don’t do. I am 99.999% percent certain the cable company knows which channels we watch. Well, which channels the box is tuned to. I’m not certain they can tell if the TV is on or not. Possibly a signal back through the HDMI cable? Anyway, before I turn it off, I make sure I set it to food network or something. That way they don’t think I’m watching some of the BS movies that may come on after one that I actually watched.