Yes and yes if you have a sneaker rack for your dryer. HOWEVER - the bleach CAN turn any plastic a bit yellow. You can try soaking in:
OxyClean in HOT water
or
HOT water, 1 cup of CASCADE POWDER DISHWASHING DETERGENT and 1 CUP OF CLOROX 2 COLOR SAFE BLEACH, make sure all is mixed well before soaking the shoes(this works well on ANY item of clothing colored - white etc and has gotten out every single stain I have thrown at it