Magical events are part of a magical belief system, and to answer your question: Yes and no. To many, causality is both subjective experience of the mind, and an objective phenomenon so it depends on to which you refer. Magic does not usually exclude causality psychologically. It merely admits supernaturalism and ignores causality physically. Thus, a wizard may have a spell book, and must as antecedent behaviors, recite magical words, use potions or spell ingredients like herbs, practice magical rites and rituals, and wield cause and effect. Unlike a scientist, however, the wizard can use forces that go beyond mere "laws of nature" (SEP) as we currently understand them. To a magician, magic is rife with cause and effect is psychologically real. Thus, what makes magic on the physicalist's view is what psychologists call magical thinking. From WP:
Magical thinking, or superstitious thinking,1 is the belief that unrelated events are causally connected despite the absence of any plausible causal link between them, particularly as a result of supernatural effects. Examples include the idea that personal thoughts can influence the external world without acting on them, or that objects must be causally connected if they resemble each other or have come into contact with each other in the past. Magical thinking is a type of fallacious thinking and is a common source of invalid causal inferences. Unlike the confusion of correlation with causation, magical thinking does not require the events to be correlated.
In fact, there is a middle ground between straightforward magical thinking and rigorous scientific thought: pseudoscience. This of course is a famous claim, part of Comte's metanarrative about the development of society in his positivism at the beginning of the 19th century. Societies evolve from magic, to religion, to scientific. Of course, modern positivistic thinking eschews such grand metanarratives, but there is something to be said in terms of the sophistication of reason. After all, one cannot cast spells or pray to create GPS satellites or place them in orbit; if it were possible, SpaceX would employ shamans and priests rather than engineers and scientists. And if that sounds silly, consider that cargo cult science "is a thing".