Yes, "How tall are buildings in Manhattan?" is a statistical question.
A statistical question is a question that can be answered by collecting and analyzing a set of data. In this case, the question asks about the heights of buildings in Manhattan, which can be answered by collecting data on the heights of a representative sample of buildings in that area and analyzing the data to determine the range, average, and distribution of building heights.
Statistical questions are different from non-statistical questions, which can be answered with a single piece of information or a simple fact. For example, "What is the capital of France?" is a non-statistical question that can be answered with a single piece of information (Paris).