Will someone be narcissistic if he rejects you after you want him back?

Am sure he was narcissistic, no doubt. , he himself also accepted it before. But its like 3 months now, n since i broke up with him for gaslighting me. N he never even once texted me or anything so i texted him n told him i love him, took a lot if courage to do that cuz ik its bad call but he said not to message him again n he has new girl. In my head am thankful for the rejection but deep down am still bounded to him.
Can narcissistics people do that? Or is he gonna blow me up later after i move on?
Will someone be narcissistic if he rejects you after you want him back?
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