Not necessarily.
I have a friend with 230 acres who ranches cattle and chickens.
He's divided his property into four fenced zones.
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He lets the grass grow on all three zones, and when it's high and at the point where it starts choking itself he moves in the cattle to one of them, say zone A.
They graze, and dump manure.
When the cattle have grazed the grass down to a point where they're eating it to the dust, he moves the cattle to zone B, and brings in the chickens, living from coups on wheels.
The chickens run around picking the worms out of the cow manure. For a week or two after dumped, most cow manure gets eaten by fly-larva, and chickens love larva. The chicken dump their chicken-sh!t all aver the place, which happens to be the best fertilizer for grass.
When the chickens have eaten as many of the larva as the cow manure is going to produce, he rotates again, and leaves the pasture to grow back.
Doing it that way has dropped his chemical fertilizer requirements to almost zero. He might do a light dusting with the stuff if he sees a patch or two growing out of sync with the rest of the pasture, but he figures he only uses 1-3% of the chemical fertilizer he used to use.
The cattle he uses mostly for milk, or for veal from the surplus male calves, or for beef when they look like they're getting past their prime as milkers. Because they're past their prime when he culls, the meat isn't as "tender" as younger cows, but he doesn't care, because he makes most of it into sausage, because that keeps better.
For the chickens it's pretty much the same story. He collects lots of eggs that are really good because the hens are fed on natural larva, and he culls the young roosters because they fight too much and you only need one. The young roosters he pan fries, and they are *very* tasty, and the old hens he makes into chicken soup.
He eats well, his soil has a high organic rating so he can charge a premium when he takes his milk, meat and eggs to market, and he saves a fortune on chemical fertilizers.
And by the way (and this is where it bugs me when people like to systematically beat-up on America as if it's the incarnation of Lucifer on earth) he got the idea listening to American PBS. He *should* have got the idea listening to CBC, but he didn't (*ahem* to CBC :evil3

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