From the wiki:
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles (or combination of particles) that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena (...)
So no, you can't dissociate one from another, at least not according to our current understanding of science.
That does not keep authors from creating sci-fi munbo-jumbo like EA's Mass Effect, which allows for all kinds of magic. But those have no scientific basis.