Can I apply EA to CC and ED somewhere else?

I have already submitted an ED application to my top choice school. I will have the supplemental essays for CC done by November 10 (the EA deadline), so it makes sense for me just to send it in and get a reply early in case I do not get into my ED school. I know CC doesn’t have restrictive early action, so this shouldn’t be a problem… (?)

Correct, not a problem to submit EA to CC as long as your ED school does not prohibit EA applications. In other words, make sure applying EA is allowable at your ED school. Very few schools restrict EA apps when you apply ED but a few do so double check on that end.