Not the best idea, if you don't debug as well under such pressure. Some people do.
Employee calls the CEO of the company in the middle of the night panicked, saying the site is down and there is no way they can fix the problem, they don't even have the right skill set.
CEO tells the employee to calm down and do their best.
Site is back online twelve minutes later.
That often means you need managers who are especially good at (or at least dedicated to) deflecting the freak out/crazy.
CD won't increase your changed related incidents, but to paraphrase the IBM parable, "no one ever got fired, for doing quarterly releases, and heavy QA."
* Note: I am not endorsing this as a setup, it's crazy. I don't think I've ever seen such high staff turnover.