It would seem to me that it would be hard for a single person to manipulate a mentally stable into thinking they have schizoid problems. One might quickly become suspicious if the supposed delusions are only tied to a single acquaintance. But for people who are already slightly schizophrenic, it would be much easier to exaggerate their symptoms. Aside from cases of actual intentional gaslightings, schizophrenic people may tend to be paranoid and form beliefs that they are manipulated.
All that is slightly different from the more common situation where a schizophrenic person thinks he is lied to by psychiatrist, psychotherapist or another mental health worker.
Is there any research on the schizophrenic people believing they were gaslighted by friends, family or another acquaintances? Or at least some case notes or the mental health workers speaking about that issue?