As someone with dissociative identity disorder (formally known as very out dated term multiple personality disorder (which d.i.d. people really hate being called)).

Usually Never, sense we control one body I would be considered suicidal tendencies.

Although with d.i.d. everyone has different systems they have, as with just well. All Humans. All of us are different and present our d.i.d. in different ways. So theoretically a alter could, yes, but generally not very often.

Source = my whole fuckin life.