Will hydrocodone show up as a narcotic on a drug urine test?

Most things show up in the urine if they're tested for, but the people doing the testing are probably only looking for illegal drugs.

Also, "narcotic" is a bad term to use in this context. It technically refers just to opiates, but the meaning has become so muddled by government Propaganda that it's ceased to be a useful Word. Stick with either "illegal drugs", or "opiates" if you mean opiates.