Heat the olive oil in a dutch oven over medium-high heat. Add the chorizo and cook, stirring occasionally, until the edges are browned, 3 to 5 minutes. Add the onion and garlic and cook, stirring occasionally, until softened and lightly browned, about 5 minutes. Add the kale, season with salt and pepper and cook until wilted, about 3 minutes. Stir in the white beans, chicken broth, 1 cup water and a pinch of salt. Add the bay leaves. Bring to a boil, then reduce to a simmer; cover and cook until the kale is tender, about 5 minutes.
Meanwhile, preheat the broiler. Put the baguette pieces cut-side up on a baking sheet and broil until toasted, 2 to 3 minutes.
Season the shrimp with salt and pepper. Add to the simmering stew, cover and cook until opaque, about 3 minutes. Season the stew with salt, if needed. Discard the bay leaves, then divide the stew among bowls. Drizzle with more olive oil and serve with the bread.