yeppers, you can make mozzarella cheese at home.
If your goal is to have some fun chemistry in the kitchen, then go for it.
But if you think you might save money by making it yourself....probably not. Mozz yields about one pound of cheese for one gallon of milk. You probably know what you are paying for 1# of mozz.....is it more than one gallon of milk, plus liquid rennet, cheesecloth, lipase, fresh yogurt and a good thermometer?
Let me impart some cheese wisdom......NEVER name a cheese until after you make it, chances are it will not turn out to be like the recipe title.
Be prepared to have a product (sometimes significantly) different from what you are used to.
Don't believe anyone who says cheese making is easy. It is just as easy as a novice making a fine whisky. Be prepared for disapointments.
Some quick cheesees are easy, such as ricotta, but mozzarella is complicated to get all the steps correct.
Do you still want my recipe?