Pat the salmon chunks dry and season evenly with kosher salt, black pepper, smoked paprika, and garlic powder.
Heat the olive oil in a large skillet over medium heat until shimmering.
Place the salmon pieces in a single layer (work in batches if needed) and cook without moving for 2–3 minutes until deeply golden on the bottom.
Flip each piece and cook another 1–3 minutes until the salmon is opaque and cooked through; remove to a plate and repeat with any remaining salmon.
Whisk together mayonnaise, sweet Thai chili sauce, sriracha, honey, rice vinegar, and a few sliced green onions until smooth and combined.
Assemble bowls by spooning jasmine rice into bowls, topping with sliced cucumbers and grated carrot, then placing seared salmon on top.
Drizzle the bang bang sauce over the bowls and sprinkle remaining sliced green onions on top, then serve immediately.