Over time, the distance between New York and Miami will stay the same. This is based on the stable geographical positions of these two cities, as the distance between fixed points on Earth's surface remains relatively constant over human timescales. While tectonic plate movements can cause minuscule shifts in landmasses, these changes are extremely gradual and won't significantly impact the distance between New York and Miami within the foreseeable future. Therefore, for practical purposes, the distance between these cities is unlikely to notably increase or decrease over time.