Yes, mass can exist without charge. Mass and charge are two fundamental properties of particles in physics. Charge refers to the property that determines the electromagnetic interactions of particles, while mass refers to the property that determines the inertia and gravitational interactions of particles.
There are particles called neutrinos that have mass but no electric charge. Neutrinos are electrically neutral, meaning they have a net charge of zero, but they do have mass. They interact very weakly with matter and are typically not affected by electromagnetic forces.
In addition to neutrinos, there are also particles called mesons that can have mass without having a net electric charge. Mesons are composed of quarks, which have fractional electric charges, but the combination of quarks in mesons can result in a net charge of zero while still having mass.
So, in summary, there are particles in nature that possess mass without having an electric charge, demonstrating that mass can exist independently of charge.