No they don't. Usually a closed coral means it is unhappy in some way. Incorrect flow
Incorrect water parameters
Or being bothered by one of its tank mates
Some corals like Leathers shrivel up, as part of their normal process, called "shedding", even with good care. I've got a Staghorn Leather and a Finger Leather that have stayed all gnarly for over a month, and came right back. I've had both for over 6 years, and every so often they flatten down. One will be big and proud while the other is flat. Same placement same everything.
Leathers seem to be the only ones though, If another type of coral is closed, there is usually something, causing it. Good luck!