Yes, the Empire State Building does have a 13th floor, although it is not always labeled as such on the elevators. Many buildings in the United States, particularly high-rises, skip labeling the 13th floor due to superstitions surrounding the number thirteen, which some people consider unlucky.
In the case of the Empire State Building, the floor exists, but its label is often avoided in a nod to these superstitions. Instead of using the number 13, the floors might be labeled with ’12A’ or simply skip directly to 14. This practice allows buildings to cater to the beliefs of those who may feel uncomfortable staying on or visiting a 13th floor.
However, the physical space of the 13th floor is real and is used like any other floor in the building. Visitors to the Empire State Building can access all these floors without any restrictions, and the layout includes numerous observation decks, offices, and services across all floors, including the so-called 13th floor.