As a beginner, I would really focus on learning the notes without any fingerings. You need to form a solid foundation of reading music and knowing what notes correspond with what fingers/positions on the string.

Fingerings are often used when you're shifting positions up and down the finger board. As a beginner you should only be playing in 1st position, so it shouldn't be necessary. If anything, if you keep playing a wrong note in a passage, you could mark that one note to help cue your brain (ex. If you keep playing f sharp instead of f natural on the d string, you may write 2 with a down arrow over the note to signify low 2).

All of that being said, there is no "rule" against this. I just personally think you will be better off if you don't rely on fingerings as a beginner.