Yes and no. You absolutely can, but it requires a bit of rejiggering. Fresh bean broth adds so much flavor, richness, and a starchiness to the broth that you’ll need to replicate to achieve the right texture. Focus on creating a rich broth, first, with a store-bought (or homemade!) vegetable or chicken stock, and simmer it with the spices, aromatics, and parm rinds for at least 1 1/2 to 2 hours. Because bean broth tends to have a starchier, thicker consistency, you could try adding some of the liquid from the can of beans or thickening the broth with cornstarch. Once the broth is to your liking, add the beans back in and cook the peas and asparagus.