Of course they do, that's why they're called crybullies.
From PsyPost, February 26, 2021:
New study suggests people with dark personalities weaponize victimhood to gain advantage over others
New research provides evidence that narcissism, psychopathy, and Machiavellianism — maladaptive personality traits known as the “Dark Triad” — are associated with overt displays of virtue and victimhood. The study suggests that people with dark personalities use these signals of “virtuous victimhood” to deceptively extract resources from others.
The findings have been published in the Journal of Personality and Social Psychology.
“Fortune and human imperfection assure that at some point in life everyone will experience suffering, disadvantage, or mistreatment,” wrote the authors of the new study. “When this happens, there will be some who face their burdens in silence, treating it as a private matter they must work out for themselves, and there will others who make a public spectacle of their sufferings, label themselves as victims, and demand compensation for their pain. This latter response is what interests us.”
In a series of studies, which included 3,536 participants in total, the researchers examined how signals of virtue and victimhood were related to Dark Triad traits and deceptive behaviors.
The researchers first found that perceiving someone as a virtuous victim made people more likely to help them, indicating that using signals of virtue and victimhood is a valid strategy to gain resources from others. For example, participants were more willing to help a victim of a random act of violence who was described as being shot while volunteering at a charity event than a victim shot walking in front of a grocery store or a victim shot at a strip club....
....MUCH MORE
If you find yourself interacting with someone exhibiting this behavior run. As the man said: "Run fast, run far."
In addition to using strategies that these folks found to work in childhood but which are sort of creepy when you see it in adults, they seem to be just plain mean. To the point you just can't trust them.
Life is too short.