For the fish cakes, place the fish, fish sauce, red curry paste, lime leaf, galangal, lemongrass, coriander root, egg, palm sugar, beans, and lime juice in a food processor and blend to a paste.
If your sauce is too thick, add water to thin, about a teaspoon at a time. Poach the eggs in simmering water. Place one crab cake on each plate, top with poached egg, then sauce.