Yogurt whey cannot be used to make ricotta.
With most cheeses, including mozzarella, the milk isn't boiled. The casein proteins are bound up with some of the lactose and almost all the fat to make the curd. The whey for such cheeses contains the rest of the lactose, tons of vitamin B, and almost all the albumin.
The albumin proteins are water soluble when they haven't been denatured. They also denature at a higher temperature than the casein does. Therefore, they almost all wash out of the curd with the whey. Bringing mozzarella whey to a (almost) boil denatures the albumin which precipitates out and can be strained to make ricotta.
When making yogurt the milk is heated to 190 or higher and then cooled. This is precisely to denature the albumin. The extra protein gives the yogurt a lot more structure.
However it means that there is no protein left in the whey- mostly lactose, lactic acid, and vitamin B.
The other answers refer to products that are cheese-flavored fudges or cream cheeses blending with cocoa.
Your question seems like it is asking about making a cocoa flavored cheese from scratch.
I have not tried chocolate in particular but I have been experimenting with flavoring cheese (and tofu) and have some data points that might be helpful.
I have not had much success with flavoring the milk before it is curdled. The curdling and pressing process is designed to force out water and water soluble compounds. I would expect much of the cocoa dissolved in the milk to be wasted. Additionally, I wouldn't expect store-bought chocolate milk to work very well because of all the additional sweeteners, emulsifiers, and thickeners that are included. I don't know how it would behave when making cheese but I wouldn't be surprised if they got in the way of forming a good curd.
I have had more success with adding dry flavorings to the curd after it is drained and before it is pressed into the final shape. This is the same time that the salt is added. Some water is still pressed out and so some flavor is lost but much less than in earlier stages.
I am still experimenting with how much dry flavoring can be added before the curd doesn't set properly. The cheese becomes more fragile the more ingredients interfere with the milk proteins.
An easy way to start would be with a simple paneer or queso fresco. Simply heat up milk, stir in some acid (lemon juice, vinegar, citric acid, etc), let the milk protein precipitate out, strain it, mix in salt and some cocoa powder, and let the mass drain in a cloth until it is the consistency that you want.
Best Answer
Whey is an excellent source of protein and whey protein in particular is used in many body-building supplements.
Please see the excerpt below from FARMcurious .
The web page gives a lot of information about whey and the many other uses for it as well as a great tip for storing.
Hope this helps!