According to the principles of quantum mechanics, there is a non-zero probability for quantum tunneling to occur. Quantum tunneling refers to the phenomenon where a particle, such as an electron, can pass through a barrier despite lacking sufficient energy to overcome that barrier classically.
In the case of a cup sitting on a table, the cup itself is composed of a large number of atoms, and each atom contains electrons. Quantum tunneling at the level of individual electrons in a macroscopic object like a cup is highly improbable. The probability of a single electron from the cup tunneling through the table and ending up on the other side within a year is exceedingly low.
The probability of quantum tunneling decreases exponentially with the size and energy of the barrier. In the case of a cup on a table, the barrier is the potential energy well created by the electromagnetic forces that hold the cup's atoms together. This potential energy barrier is typically very large compared to the thermal energy of the electrons, making the probability of tunneling extremely small.
In practical terms, quantum tunneling effects become more prominent at the atomic and subatomic scales, where the energy barriers involved are smaller. At larger scales, such as everyday objects like a cup, classical physics accurately describes the behavior of the objects we observe.
Therefore, it is highly unlikely that a single electron from a cup would quantum tunnel under a table within the span of a year. The behavior of macroscopic objects like cups is well-described by classical physics, and quantum effects typically become significant only at the microscopic scale.