No, according to Shia Islamic rulings based on Quranic interpretation and Hadith, Shias are generally not permitted to eat eel.
Shia jurisprudence prohibits the consumption of certain sea creatures, specifically those without scales. Eels, lacking scales, fall into this category of prohibited seafood. The basis for this ruling stems from interpretations of the Quran and the teachings (Hadith) of the Imams. These sources clarify which types of seafood are considered permissible (halal) and which are not (haram). Because eel is considered Haram, Shias cannot eat eel.