As @kitzfox says, there are times when you would know what your face must look like, and it would be reasonable for a narrator to say so.
I stared wide-eyed.
Sometimes you would reasonably guess.
"Bob is the smartest man here", my girlfriend announced to the room.
I could feel myself reddening with embarrassment.
But other times it would be distinctly odd.
I had a tired look on my face.
Umm, probably not. You might say "I was tired", but you are unlikely to describe yourself as looking tired.
If it's somehow important to describe how a first-person narrator looks, to make it sound natural you could either have someone else tell him how he looks, or provide some way that he sees himself.
I didn't realize how tired I must be until Sally said, "Wow, you look exhausted."
"Does it really show?" I asked.
As I walked passed the mirror, I glanced at it and saw my own reflection. Wow, I looked tired!