If an inhabitant of a rotating planet faces the rising sun, on the left hand will be north, on the right hand will be south. So the four cardinal points could be labelled

Rising (East)
Left, Leftward, Sinister (North)
Right, Rightward, Dexter (South)
Setting, Falling (West)

However, these labels wouldn't work on non-rotating worlds such as tidally locked planets, or on planets which (like Mercury) have a resonant rotation so that the Sun rises in different directions at various times of the year. Nor would they work on stars or black holes. But each of those types of object could have their own distinct set of cardinal points.