Yes, there are known particles that do not interact with electromagnetic radiation. These particles are typically referred to as electrically neutral or electrically neutralized particles.
One example is the neutrino. Neutrinos are elementary particles that belong to the lepton family, and they have no electric charge. Because of their neutral charge, neutrinos do not interact directly with electromagnetic radiation, such as photons. They primarily interact via the weak nuclear force, which allows them to interact with other particles, including other neutrinos and certain subatomic particles.
Another example is the hypothetical particle called the axion. The axion is a proposed elementary particle that is postulated to solve certain problems in particle physics. If axions exist, they would have extremely weak interactions with electromagnetic radiation. They would have properties that make them ideal candidates for dark matter, a form of matter that does not interact with electromagnetic radiation and remains invisible to traditional detection methods.
It's worth noting that while these particles may not interact directly with electromagnetic radiation, they can still have indirect effects on electromagnetic phenomena through their interactions with other particles or through gravitational interactions. Additionally, our understanding of particles and their interactions continues to evolve, and new discoveries may reveal further insights into particles that do not interact with electromagnetic radiation.