To confirm what others have already said, no, it is not a barn.
To add to what others have said. In the U.S. & the U.K. we don't build those regularly enough to have a word for them. You will most likely here us refer to it as shack, or hut, pig-pin, or roof - although none of those nouns I just listed will actually work to describe it.
Its likely that in another area of the world, some distance away from the UK, and the US, they build those (it looks to me like it's created in a rain-forest or jungle). Whatever the word that they use for it, would likely be the correct word to use even in English. Just because a word didn't originate from English speakers, doesn't mean that it isn't the correct word in English. Sometimes the correct word is the word you might already use for it. In such a case, you might have to explain to native-English speakers what something is, because an American, like myself, may not have ever seen anything like it (which is the case here).