The concept you're referring to is known as "quantization" in the context of position and time. While quantum mechanics introduces discrete energy levels and quantization of certain observables like energy and angular momentum, the situation is different for position and time.
In standard quantum mechanics, position and time are treated as continuous variables, meaning they are not inherently quantized. The position of a particle can take on any value within a continuous range, and time is treated as a continuous parameter that flows smoothly. This is different from energy, which can be quantized into discrete levels.
However, it's important to note that there are theories beyond standard quantum mechanics that propose the existence of a fundamental quantization of space and time. These theories, such as certain versions of quantum gravity or string theory, suggest that at extremely small scales, there could be a discrete structure to spacetime itself. In these theories, the notion of a minimum "chunk" or "quantum" of space and time, often referred to as a Planck length and a Planck time, respectively, is introduced.
Currently, our understanding of physics is primarily based on standard quantum mechanics, which does not incorporate such fundamental quantization of space and time. However, ongoing research in quantum gravity and related areas aims to explore these ideas further and reconcile them with our current understanding.
It's worth noting that the scale at which such effects would become relevant, if they exist, is far beyond our current experimental capabilities. Therefore, the quantization of position and time, if it exists, remains largely speculative and an active area of research.