The nervous system is one system among several in the human body. In order to function, does the nervous system depend on other systems such as the circulatory system or the digestive system?

Yeah
circulatory system is centering around blood flow
digestive system is what literally helps you digest food properly, and is what keeps the body going

Although each system has specific functions, they are all interconnected and dependent on one another. The nervous system controls various organs of the body directly. The brain also receives information from many organs of the body and adjusts signals to these organs to maintain proper functioning.