Yes, dark marks can hurt, specifically in the context of the Dark Mark described in the reference material.
The Dark Mark and Pain
The reference describes the Dark Mark as delivering a burning sensation:
- Burning Sensation: When activated, the Dark Mark turns jet black and causes a burning sensation to those who bear it. This is a key element from the provided reference.
This pain isn't a constant state but is triggered when the Dark Mark is activated by pressing a Death Eater's finger to it. Furthermore, even traitors with the mark (like Igor Karkaroff) experience this burning sensation.