Generally, no, you cannot cook wild rice in a quick stovetop soup. Whole wild rice has a very long cooking time and absorbs a lot of water. That said, sometimes you can find "soup grade" wild rice which consists of broken kernels that cook faster. With enough added liquid, you may be able to cook those in your soup. However, for best results, I recommend pre-cooking your rice and adding it to the soup. Check out this recipe for an easy way to prepare dry wild rice.