Basically, it is the broader question for this problem.
Stitching is, simply put, just joining body tissues together after an injury or surgery. As any wound has wound margin, isn't it possible to join any two tissue edges together?
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Here are some examples that aren't good candidates for closing with sutures:
A wound with extremely fragile or messy margins (I treated a patient a few weeks ago whose food processor turned on while her hand was in there scooping food out).
A wound that has lots of dead tissue (such as when there is a flap of skin with poor blood supply)
A very dirty or contaminated wound (for example a cat bite, which is deep and filled with bacteria).
These wounds are not amenable to suturing, aka closing via primary intention. Instead, they are allowed to close via secondary intention, which essentially means heal on its own.
For wounds that should be sutured, there are many techniques that allow you to closely appose irregular wound margins.