Rarely. A brickie has his muck on a spot board, a couple of shovelfuls at a time when bricklaying. When pointing he uses much smaller amounts usually of the back of an upturned bricklayers trowel. A hawk is too big.
Wall rendering, another use of a hawk, is normally done by the plasterer so that he can get the surface how he wants it and just exactly when in terms of the render drying time to apply a skim coat of plaster. Usually the next day no later.