There is text suggesting a figure looking like Batman existed in Maya tradition. His name was Camazotz. He was the Mayan bat god of night, sacrifice, and death.
The Maya people consider him a terrifying god who served death and ruled the domain of twilight. Camazotz lived in bloody grottoes and other dark places. People tried to avoid these places for fear of disturbing him.
References about his character and descriptions agree on him being half-human and half-bat. He was depicted holding his victim and a knife. The deity also appears in Popol Vuh, a book of Maya history and stories.