Finely chop the shrimp by hand, or pulse briefly in a food processor until just chopped (do not puree).
Place in a mixing bowl and add the egg, scallions, cilantro, ginger, garlic, lime juice, green curry paste, 1/2 cup of the panko, salt, and black pepper. Mix until well combined.
Using a 1/4-cup measuring cup, portion the mixture into 12 evenly sized cakes, gently shaping them without compacting too firmly. Place on a baking sheet, and refrigerate for 1 hour or in the freezer for 20 minutes to help them set.
Press the remaining panko lightly onto both sides of each shrimp cake. (You can also do the other side when the first side is browning in the skillet.)
Place a cooling rack over a rimmed sheet pan. Preheat the oven to 200 degrees to keep the shrimp cakes warm after frying.
Heat about 1/2 cup of oil in a nonstick skillet or sauté pan over medium-high heat.
Press the remaining panko lightly onto both sides of each shrimp cake
Working in batches, carefully place 4 shrimp cakes into the hot oil. Reduce the heat to medium-low and cook for 2–3 minutes, monitoring browning. Carefully flip and cook an additional 1–2 minutes, or until golden and the internal temperature reaches at least 145°F.
Working in batches, place 4 of the shrimp cakes in the hot oil. Reduce the heat to medium-low and cook 2-3 minutes, keeping an eye on how brown they're becoming. Carefully flip the cakes and cook another 1-2 minutes or until each shrimp cake reaches an internal temperature of at least 145 degrees.
Transfer the cooked shrimp cakes to the prepared rack to drain and keep warm in the oven. Repeat with the remaining cakes.