Yes, it is not uncommon for a narcissist to feel jealous of their scapegoat. In a family or social dynamic where a scapegoat is designated, the scapegoat often bears the blame for the narcissist's shortcomings, mistakes, or negative emotions. The narcissist may use the scapegoat as a way to deflect attention away from their own flaws and project their insecurities onto someone else.
Jealousy can arise when the scapegoat receives attention, admiration, or recognition that the narcissist craves for themselves. The narcissist may feel threatened by the scapegoat's accomplishments, successes, or positive qualities, as it highlights their own inadequacies or failures in their eyes.
The scapegoat can also serve as an outlet for the narcissist's negative emotions, providing a convenient target for their anger, frustration, and resentment. This negative focus can make the narcissist feel temporarily empowered and superior, but deep down, they might still harbor feelings of envy or jealousy towards the scapegoat.
It's important to note that not all narcissists behave the same way, and individual personalities and circumstances can vary. However, jealousy of the scapegoat is a common pattern observed in some narcissistic relationships or family systems.