To say fortune telling is science or not science, we need to know the definition of science.
Science is not truth. Science is not technology. Science is not knowledge. Science is a method to discover things. So what method is that? Experiment. To be specific: First, you observe and record phenomenon. Then you sum up the pattern and come up with your theory. Then you use your theory to predict phenomenon. Then you observe the difference between your prediction and actual value. Then you amend your theory and repeat the previous step. Finally you assess the meaning of your discovery. Guess what? Fortune telling fits all the description. Is fortune telling science? It’s up to you. It is what it is.