I read they are originally from Asia, yes. But there is one European type and several other types. Nowadays many plants get to grow all over the world.
Just one interesting example. There is a little river not very far from us. There are so many reeds that eat up the whole area around the river... I thought it was normal, that it was an autochthonous type of reed, but it was not. It is an invasive one, and actually causes more damage now than good right now as the autochthonous plants don't have space not to grow 🤷♀