I don't know, in part because I'm not so sure about the whole construct of "personality disorders".
I'm sure they could though.
DSM wrote:
A pervasive pattern of detachment from social relationships and a restricted range of expression of emotions in interpersonal settings, beginning by early adulthood and present in a variety of contexts, as indicated by four (or more) of the following:
# neither desires nor enjoys close relationships, including being part of a family
# almost always chooses solitary activities
# has little, if any, interest in having sexual experiences with another person
# takes pleasure in few, if any, activities
# lacks close friends or confidants other than first-degree relatives
# appears indifferent to the praise or criticism of others
# shows emotional coldness, detachment, or flattened affectivity
Note that when this is diagnosed a lot of times the psychiatrist makes assumptions about the person's desires and motivations. (So that if a person doesn't look socially interested -- even if they are -- and doesn't show a lot of emotion, and doesn't show their reactions to people, etc, then it's assumed this is because of this, sometimes.)
There's at least considerable overlap which is why they exclude people with "pervasive developmental disorders" from diagnosis.
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"In my world it's a place of patterns and feel. In my world it's a haven for what is real. It's my world, nobody can steal it, but people like me, we live in the shadows." -Donna Williams