no. paint sometimes peels when it is put directly on some surfaces. Primer doesnt look as good as paint but it is sticky as hell and it will not peel no matter what. HOWEVER paint does a good job of sticking to paint, (this is why its possible to put on multiple coats of paint without layers of primer in between) so whenever you are putting paint on paint you dont need primer unless the old paint is peeling and there are large bald spots