Well, it really depends on your point of view.
Is this world magical to me? Yes, but only in a very specific way. Not in the way of how everything is connected and the very element of chaos, since I consider that an entirely different thing. I believe this world is "magical" because of how we control the events.
From what I've seen through the fictions I've seen where magic is real as it is, I concluded that magic is the generation of an event through the explotation of energy. This event or condition could be anything possible between the given universal laws, from making a source of light to causing someone's death. It's like typing a command in a game's console.
We do that, but in a different way from what we see in tales about magicians and mystical stuff. We exploit the laws of physics as we know them to make our own events, just that with larger limitations. This limitations are usually the product of not knowing enough about such laws to make a certain event possible or simply lacking the capability to generate enough energy to make it happen, whatever it is. In a way, you could say that magic is limitless technology.
Is this world magical? Yes, just that it's not the kind of magic you see in fiction; just like the fact that robots exist but they're different from what we see in movies or just the general media about them.
TL;DR: Any sufficiently advanced form of technology is indistinguishable from magic. Therefore, our world could be considered magical but limited.