No, the distance of the 1s orbital from the nucleus does not increase with higher atomic number. The 1s orbital is the innermost orbital in an atom and is closest to the nucleus regardless of the element.
In the Bohr model of the atom, electrons are depicted as orbiting the nucleus in specific energy levels or shells. The 1s orbital is part of the first energy level, closest to the nucleus. As you move to higher energy levels (2, 3, 4, etc.), the electrons are located further away from the nucleus, but within a given energy level, the distance of the 1s orbital remains the same for all elements.
However, it is important to note that the size of the atom as a whole does increase with higher atomic number. This is due to the addition of more energy levels and electrons. The outermost electrons in higher atomic number elements are located in higher energy levels, which are further from the nucleus.