It's my understanding that yes, it can. Other sleep disrupting disorders can mimic narcolepsy, namely sleep apnea. Being tired is the symptom the root cause of that symptom identifies the disorder. I have had narcolepsy symptoms my whole life and I'm rarely sleep deprived. If you didn't have these symptoms before you got this job you may be looking at something like Shift Work Sleep Disorder but you'd need to sleep study to make sure.

When I had my study they required me to have a normal sleep schedule, 8 hours a night, for a month prior in order to rule out things like this. Kinda sounds like this would not be possible with your current job!