I think the answer to this question also depends on exactly what "type" of "Farmers Cheese" the OP was asking about, & what "type" of "Farmers Cheese" the responders were talking about.
These days, many supermarkets carry what they call "Farmers Cheese". It's a hard little round of mild cheese similar to plain un-aged Muenster or maybe even a firm mozzarella.
Now the REAL "Farmers Cheese" that I think of when the term is used is a cheese similar to Cottage Cheese, but firmer & with much less moisture. Deli counters used to sell it in little blocks much as they do Feta cheese (or used to) today.
Unfortunately, the REAL "Farmers Cheese" can be difficult to find these days. My husband has been after me to "try" to make him homemade pierogies like his Ukrainian mom used to. But finding REAL "Farmers Cheese"? So far the only lead I have is Whole Foods. No other supermarket around carries anything but the rubbery pseudo-Farmers Cheese.
Farmers cheese is much drier than cottage cheese and will better survive having been frozen. Also, you'll probably be using the cheese in cooking, rather than eating it straight, so minor changes in texture or moisture after freezing will be less important. My general rules are to 1) avoid freezing any cheese unless absolutely necessary, 2) never freeze high moisture cheeses, and 3) not freeze cheese that you will eat out of hand (rather than cook with or grate) afterwards. These things noted, I think that you could get away with freezing Farmers cheese.
Yes, I realize that the OP asked the question almost six months ago and no longer needs our advice, but perhaps it will help others.
Can you freeze Farmer's cheese, yes. Should you? Maybe.
My wife eats Farmer's Cheese (Friendship brand) and I asked her. If you buy a sealed package you can freeze with little loss. It sometime is a bit watery when defrosted.
If you go to the deli at the supermarket and buy a piece (she usually buys about 10 oz at Stop and Shop) that open piece is not very good after freezing. It has been exposed to the elements and you may not know how fresh it really was when you bought it.