This is one of those questions we used to wonder in our childhoods and then slowly forgot about.This question kind of represents a part of us that is fascinated by this world and is always seeking what else it has to offer.We all love experiencing things that we are not used to experiencing.So before we ask the question whether magic is real or not i find that I do not really know what is supposed to be magic.In crudest( and somehow most accurate) of sense I think its just(!) an extraordinary event.While if we try to make the definition a bit more sophisticated then it we could say something that defies laws of sciences,physics to be precise.
Now extraordinary is actually not that extraordinary.It encompasses things that are not allowed by physics and somethings that are allowed by physics but their probability is extremely low.Like theoretically since every molecule has random motion they could have a net momentum but the fact that they are random prohibits any overall momentum in something unless there is some force which is important otherwise this stable universe won't exist.
So out of infinities that can happen in next moment there is only one that appears and then leads on to next one.Its like each and every moment has some algorithm for selecting the next moment out of the infinite moment.Now moment here is used strictly as unit of time.Now quantum theory suggest that there can be fact the smallest unit of time. Now in quantum physics Planck time is defined as minimum length of time that must be present between two connected events,although time itself being discrete has not been proved.So the idea that one moment selects the other doesn't seem to be that far fetched.
Now as you may have noticed I emphasized on the word stable in the previous to previous paragraph because I think that is the key here.In old religious stories where we find mentions of "miracles" or "magic" and most of the time the events were necessary for the present to be what it is.Now maybe there will be events in future where it will be necessary or even in the present there are magical events happening that are necessary for the universe to exist in accordance with certain unknown rule .We as humans are mere spectators of these chains of events that too while being constantly governed by it.
So does magic exists..?!
Of course it does,we are mere observers of the game and we do not know the rules.There will come times when we see knew things we could never have anticipated and when our incomplete rule book will fail and then get revised like it has in the past.And each moment of everyday is governed by that unknown rule book.So each moment is magic which we have kind of figured out the method to some extent so it doesn't make us curious anymore and becomes ordinary.