I would love to grow my own food and have my own animals, but it seems buying land is getting more and more expensive, likely to deter people from doing that.
No, it's not because of that, it is a very conspiracy thing to say. I could give you examples from non 1st world and how the price of land goes up not because someone wants people not to live on the land.
The simple fact that you want land is enough to start a whole cascade of prices going higher.
Also if you have not grown your own food and haven't had your own animals already, it is not a carefree life, it is your entire life getting dedicated to that, there is a huge reason why humanity does not want to heard sheep, take care of cows and use a hoes all day to support themselves and their family, it is very hard and takes real effort.
And then wait for the snails to eat your food, birds, tons of fungus and disease, bears and foxes to eat your animals and your entire work gone to nothing and no food.
This is from experience.
Now if you got money in the bank already and you do that as hobby and you afford to have bad crops, animals die on you, bears and foxes killing you animals, than that is a luxury to live on your own land like that, usually it is people who do not rely on that living that actually afford to live like that without any stress.