That's largely a question of definition.
If you define magic as something not explainable by scientific analysis, real magic happens all the time over human history.
That's because scientific theory evolves. If you can't find an explanation in existing science, that means your science sucks and you need a new theory. For anyone unfamiliar with that new theory, everything explained by it is real magic.
Here's a quote from one of my lectures in a science class I'm currently taking. I think the subject of "real magic" can fall under this too. I think this is a nice addition to your statement.
"Science is a method for learning about the physical universe. It can provide very useful and abundant information, but this is its limit.
Because it deals only with the physical, science is completely separate from religion, which deals with God and the supernatural. Science can't and doesn't speak to anything relating to God because it's not in its realm. Scientists are like all other people, some are devoutly religious, some are atheists and some are somewhere in between. Their religious convictions don't have to do with science but with other values in their lives. Science doesn't produce information about values, and this is often misunderstood by people who feel that science is amoral.
Experimentation can tell us (and does) how to build a bomb, but whether we build it or use it (or even conduct bomb research) is outside of the scope and limits of science and belongs in the realm of ethics, religion and mortality. After scientific activities give people blueprints and information, the science part is over and what is done with the information comes into the other realms of personal accountability and morality. People may behave morally or immorally but science just provides information. In addition, science can tell us the structure of a flower, but can't tell us whether it is beautiful or wonderful.
There are many ways of knowing about our selves, the universe and our place in it. Science is just one of these but it is very useful and powerful within its limitations. "
-Dr Steve Goetz.
I bolded some of my favorite lines. I hope this paragraph adds to this thread.