A moving neutral atom, such as hydrogen, can be affected by a magnetic field due to the presence of non-zero magnetic moments from its charged particles, despite the atom having no net charge. Even neutral atoms like un-ionized, unexcited Helium-4 can exhibit interactions with magnetic fields, although they have no total magnetic moment. The discussion highlights that while a neutral atom is overall chargeless, its internal structure allows for interactions with magnetic fields, as seen in phenomena like the Zeeman Effect. The Lorentz force also plays a role in the behavior of moving neutral atoms in magnetic fields. Overall, neutral atoms can indeed react to magnetic fields under certain conditions.