NEC is part of current EE curriculum.
Not in most engineering science programs (as opposed to engineering technology programs.) ABET accredited electrical engineering science degrees are required to have certain doses of electric circuits, electronics, linear signals, electromagentics, and solid state theory in addition to mathematics, physics, etc. The requirements for an engineering science degree are based on theoretical study and laboratory experiments to demonstrate the theories, not application of the theories to the real world. These requirements are hard enough to pack into a 4 year degree program that most universities cannot find the time to address applying the theories to real life.
An electrical engineering technology degree does not focus on theoretical science, but only the science that is required to understand the phenomena most people will observe in the real world. The electric circuits courses are very similar to the engineering science degree, but the rest of the courses are somewhat different. Engineering technology programs still cover electronics and electromagnetics but don't dive into how to design a transistor or diode, rather how to design a circuit with them and how to troubleshoot the circuit. In general the theoretical part of the material is removed and replaced with instruction and hands-on experience that more directly applies to someone working in industry.
My college-educated electrical coworkers in a refinery have a mixture of engineering science and engineering technology degrees. In reality all of us have to learn a lot of material outside of what our formal education covered. I had to learn the NEC, some NESC, what type of MV cable termination is best, when and how to Hi-pot a cable, etc. Some of my coworkers with engineering technology degrees had to learn how fault current is calculated, how to do a coordination study, and some of the finer points of industrial-class protective relaying.