According to our current understanding in physics, there is no evidence to suggest that mass is quantized in the same way as certain other physical quantities, such as electric charge. In quantum mechanics, some properties of particles, such as energy and angular momentum, are quantized and can only take discrete values. This is a consequence of the wave-particle duality and the mathematical framework of quantum mechanics.
However, mass, as it is commonly understood, is not considered to be inherently quantized. Mass is a continuous property of particles and objects, and there is no known theory that requires or predicts mass to have discrete values.
That being said, it's important to note that there are ongoing efforts to reconcile quantum mechanics with general relativity, leading to theories of quantum gravity. In some approaches to quantum gravity, such as certain versions of string theory, there are suggestions of discrete structures at very tiny scales, potentially leading to a discrete or "quantized" nature of spacetime itself. However, it is not yet clear how this might relate to the quantization of mass in a fundamental way.
In summary, while certain properties in physics are known to be quantized, such as energy and angular momentum, there is currently no compelling evidence or theoretical requirement for mass to be quantized in a similar manner.