According to our current understanding of physics, matter cannot move without expending or interacting with energy. Energy is a fundamental concept in physics that is associated with motion and change. In classical mechanics, which describes the motion of macroscopic objects, any change in an object's motion requires the application of a force, which in turn requires the expenditure or transfer of energy.
Additionally, in the context of the laws of thermodynamics, which govern the behavior of energy, there is a principle known as the conservation of energy. This principle states that energy cannot be created or destroyed but can only be converted from one form to another or transferred between objects or systems. Thus, any movement of matter would involve some form of energy transfer or transformation.
However, it's worth noting that in certain scientific and philosophical discussions, there may be concepts or theoretical models that explore hypothetical scenarios where matter could exhibit seemingly spontaneous or self-propelled motion without a direct energy input. These ideas often involve speculations beyond the current scientific understanding or involve unconventional interpretations of energy and motion.
Nevertheless, based on our current scientific knowledge and understanding of the laws of physics, matter requires the input or interaction with energy in some form for movement to occur.