The only way you could have magic clearly defined as something that isn't possibly technology is if you describe it as something that is utterly apart from natural laws. For instance:
Magic is a way of working with the world, not as forces and physics, not as matter and energy, but as concepts. Concepts have no physical representation at all, but exist in a different way. An apple has weight; it has composition, relitive velocity, and mass. it even has shape, arrangement, and form. But it also has a certain "appleness" to it. If you have an apple, then take away all these natural properties, eventually you will be left with an empty space and a memory- and this memory, the concept of the apple in you mind, is what magic, presumably, works with.
In our world, when we work with concepts, they can only interact with each other. We can only think about them.
Presumably, in a less orderly but perhaps more interesting universe, we might find that concepts might somehow be more "real", and that if you imagine an apple just right, and perhaps you use some skill we ourselves are unaware of, the physical world will find itself with an apple suddenly there.
A conflict between the magical and the technological is still unlikely, or at least, no more likely than any other conflict between people. Magic doesn't have to answer to any physical laws, and physics just ignores magic since, according to physics, magic doesn't exist.
They might even work together, especially if a machine was made that could handle concepts on a sophisticated level. A book stores them, as does a phonograph or a camera. A watch calculates the specific concept of what we laughingly think of as "absolute time". A computer might even be able to cogitate spells on it's own...