That’s not necessarily a hard rule, but it sounds like it’s allowed.  That said, I think that in a narrative essay, people are probably used to hearing about experiences that other people have had, as opposed to a narrative essay being just about a first-person narrator, so I’d say that it’s good to do both, but not really required.
assitant
So, like, the first person “I” isn’t allowed, that’s correct, but so is “you”.  Here’s a really simple example, you could write, “you like someone, and they don’t like you” - but not, "I like someone, and they don’t like me".
assistant
I have to write a narrative essay. What does that mean?
user
Can I talk you through it?
assistant
Yes
user
OK, so there’s a structure to this, that you’re supposed to follow, although it’s probably a pretty flexible structure.  It’s called a “narrative” because you’re telling a story, and it’s usually about something that happened to you, so you’re telling a story about your own experiences.  There’s also some additional constraints on what can happen in your story - for example you can’t use words like “I” or “you” - but as long as you’re telling an actual story, and it’s connected to your own experiences, that should be fine.
assistant
Ohh, I get it. So like a personal story, and anecdotal story?
user
That’s right, but I guess it can also be a story about other people’s experiences, and your feelings about them.
assistant
Should I be using a first person pronoun in a narrative essay? Such as "I"
user