Is it possible to have schizoid personality?

Yes, of course: Schizoid personality d/o has a pervasive pattern of detachment from social relationships, plus restricted range of expression of emotions in interpersonal settings. Pattern begins by early adulthood, and is present in a range of contexts. They neither enjoy nor desire close relationships, including w/family. They don't seem to enjoy many activities, are "loners, " and are indifferent to criticism.

Schizoid: Possible but rare. The main feature of schizoid PD is an indifference to interpersonal relationships. These are folks who tend not to experience loneliness or depression brought on by prolonged isolation from other people. They prefer it that way.