Weeelllll.... not always, per se.
Some are better than others but it is still up to each individual fish. Blueface, Majestic, Regals, Gold Flakes and more have all been known to do well. Each have been known to nip also...
I had kept a Majestic for a good year with very little problems. She would *Once in awile* sample a stoney, just a taste. Never actually did any damage to anything. I've read that the sometimes just nibble at any slime that may be on the coral.
I just love Angelfish. Large and Dwarf.