Yep! I made a batch and sent it back to college with my dd a few months ago and am using it now as well. Haven't noticed any difference that the name brand I used to buy. Here is the recipe that I used:
3 Bars of soap (whatever scent you would like)
4lbs Arm & Hammer Washing Soda
4lbs Arm & Hammer Baking Soda
Grate the soap with a grater and then mix all ingredients together. Store in an airtight container.