Yes, it is possible for people with paranoid personality disorder to be aware of the irrationality of their paranoid thoughts and beliefs, yet still be actively suspicious towards others. Paranoid personality disorder is characterized by a pattern of pervasive distrust and suspicion of others, even when there is no basis for the mistrust.
Individuals with this disorder may intellectually recognize that their suspicions are excessive or irrational, but they find it challenging to control or dismiss these thoughts and feelings. Despite being aware of the irrationality, they might still act on their suspicions and remain cautious or guarded in their interactions with others.
This condition can cause significant distress and difficulty in personal and professional relationships. Therapy, such as cognitive-behavioral therapy, can be helpful in helping individuals with paranoid personality disorder better understand and manage their thoughts and behaviors, even though it may be challenging to fully eliminate the suspicious tendencies. It is important for individuals with this disorder to seek professional help if they find their symptoms significantly impacting their daily life and relationships.