According to quantum field theory (QFT), there is a non-zero probability for a particle, such as a ball, to undergo quantum tunneling. However, it's important to note that the probability of such an event occurring depends on the specific circumstances, such as the mass and energy of the particle, the properties of the barrier (in this case, the wall), and the distance and potential energy profile involved.
In the context of macroscopic objects like a ball thrown at a wall, the quantum effects that lead to significant tunneling probabilities are generally negligible due to the large mass and relatively well-defined classical behavior of such objects. Quantum tunneling effects become more pronounced at the microscopic level, where particles like electrons or photons can exhibit wave-like behavior and encounter barriers with energy profiles that allow for significant tunneling probabilities.
In everyday macroscopic situations, the wave-like nature of macroscopic objects is not typically evident, and their behavior is well-described by classical physics. The probability of a macroscopic ball tunnelling through a macroscopic wall is extremely low and effectively negligible under normal circumstances.
However, it's worth noting that in some specific scenarios involving extreme conditions, such as highly unstable or highly energetic particles, or situations involving quantum systems that are well-isolated from their surroundings, quantum tunneling effects can become relevant even for larger objects. These scenarios, however, are quite different from the everyday situations we encounter.
In summary, while quantum tunneling is a fundamental concept in quantum physics and QFT allows for non-zero probabilities of tunneling, the probability of a macroscopic ball tunnelling through a macroscopic wall in typical circumstances is extremely low and essentially negligible.