Hello OnkaBonka
No. Via the front cut-sheet feeder, the smallest size is 76.2 x 127mm, see under "Paper size" here:
https://support.brother.com/g... size,width%3A
For the paper drawer, the smallest format is A6 = 10.5 x 14.8 cm.
It will be difficult to find a machine for such a small format. Have you already looked for a 4 inch label printer (thermal printer)?
Greetings