No. If a CEO makes self-serving comments that are in their interests, but not the company’s interests, that could be fiduciary misconduct. With that being said, CEOs have a fair amount of latitude in what they can say, since it’s difficult to tell what the “optimal” thing to say at any point would be (see: Tim Cook telling an activist investor to “get out of the stock” if he didn’t like Apple’s environmental initiatives).

The idea that CEOs’ hands are tied, and that they are kept on some sort of short legal leash, is largely (though not entirely) a fiction.