Yes. We have authentic Hadeeths that weeping for tragedies of Ahlul Bayt (AS). Imam Muhammad Al-Baqir (AS) said: Any believer who weeps on our sufferings from our enemies till his tears flow on his cheek, Allah will grant him a place in Paradise. Kaamil al-Ziyarat by Ibn Qawlawayh , page 100.
Wassalam.