I have no idea about the laws. EU, so probably technically not. But plenty of people keep them, I can even hear goats bleating from my balcony somewhere on the other side of the valley. There is loads of patches of uncultivated areas everywhere that would comfortably accommodate a small herd.

The majority of milk here is not just pasteurised but UHT, which is even worse. And out of all that, the majority of it is skim, half fat, lactose free, only about 1/8th of what you look at is just milk, only boiled, in fact often I can't even find full fat milk on the shelf, and plain pasteurised whole milk doesn't exist at all.

I actually almost started working as a goat herder for a bulgarian dairy farm some time back. I kinda regret it now, but I very nearly did it.