Of course they do.
All humans have emotions.
It is how we choose to relate to our emotions that matters. The narcissist tends to repress them so deeply that, for all practical purposes, they play no conscious role in his life and conduct, though they play an extraordinarily large unconscious role in determining them. The narcissist's positive emotions come bundled with very negative ones. This is the outcome of frustration and the consequent transformations of aggression. Instead of being provided with the love that he craved, the narcissist was subjected to totally unpredictable and inexplicable bouts of temper, rage, searing sentimentality, envy, prodding, infusion of guilt and other unhealthy emotions and behaviour patterns.