Certified GKH Gardening Expert
Although the original might not re-grow, it will, certainly, shoot up new pups to replace it. Often, they will produce several more than just replacing the original.
I am noticing that you soil seems to be a heavy clay soil. This will restrict the growth of these succulents. You can use a potting soil, but they like cactus, or succulent mixes best. They need quite a bit of aeration. Try placing these in a window that receives bright light all day, if possible.