Yes. Typically a solution of one part chlorox to 9 parts water is sufficient.
Shower stall mold? It depends on what kind of mold and where. If this is just mold in the shower or bathroom, a solution of 10% bleach (1 part bleach plus 9 parts water) works well. One should be sure to wear waterproof gloves (such as dish-washing gloves) and ventilate the room with good air flow. Also, one should wear old clothes because splattered bleach will ruin the color on new clothes.
How can I clean up. Mold spores without just stirring them around more and what if anything to use besides bleach? How can I kill mold spores?
Get a service. If the area involved is rather small, you may attempt to clean it up with bleach then drying by taking the proper precautions (face mask, goggles) unless you are highly allergic to molds. Any material especially dry walls & particle boards contaminated must be removed. The source of water must be corrected. For any area larger than a few square feet, it is best to get a professional to do it.