According to our current understanding of physics, it is not possible to remove mass from matter entirely. In the Standard Model of particle physics, the mass of elementary particles arises from their interactions with the Higgs field. The Higgs field gives particles their mass, and removing the mass would require somehow eliminating or neutralizing the effects of the Higgs field.
However, it is worth noting that mass can be converted into energy and vice versa, as described by Einstein's famous equation E=mc². This equation shows that mass and energy are interchangeable, and mass can be converted into different forms of energy, such as kinetic energy, thermal energy, or electromagnetic radiation.
In certain processes, such as particle-antiparticle annihilation, the mass of the particles can be converted entirely into energy. This is observed, for example, in high-energy particle collisions, where particles and antiparticles can annihilate, releasing energy in the form of photons.
In summary, while mass can be converted into energy, removing mass from matter entirely, as in eliminating the effects of the Higgs field, is not currently considered feasible within our current understanding of physics.