Well yes, I suppose it can but it will depend on how much you eat and how strong (ie mature) it is. I was asked this question because Dairying is/was my profession. There has been recent newspaper coverage about the demise of traditional Double Gloucester cheese, supposedly due to the dwindling numbers of Gloucester cattle. I have seldom read such misleading rubbish in my whole life! This cheese is made in a number of British Creameries using the traditional recipe with British milk from your average dairy cow. I do not know of any commercial cheese being made exclusively from Gloucester cows' milk - I would be amazed if any of these cows were milked at all as they suckle their own calves.
Simplistically, British hard cheeses are about 1/3rd fat, 1/3rd protein and 1/3rd water with a bit of salt and perhaps colouring. Stilton has a bit more fat and Edam types a bit less. Some cheaper, less mature cheeses may contain more water - extra profit as it weighs heavy! My advice would be to buy mature cheese as you need to use less of it.
Beware blended cheeses. The very popular Cheshire with Cranberries needs avoiding if you take warfarin. Smoked cheeses ( and smoked anything ) are best avoided ( cancer risk ). The best blended cheese that I have tasted is Cheddar with marmite - and I hate marmite!