Yes, it’s possible to freeze cheese. Most hard cheeses – Such as cheddar – freeze well and without affecting the flavour.
Not all chesses do, however, especially Soft Chesses Such as Cream cheese and Cottage watery Cheese, which can become watery and grainy in texture. Freezing Can also affect the textures of Some hard cheeses, making it more Crumbly & harder to use. For this reason, the best use for cheese that has been frozen is usually Cooking.
If you do wish to freeze cheese, for best results, you should grate it first and then store it in a airtight plastic bag.