Phragmites cane is as global as plant species get, and it grew throughout Europe, even in Lapland, already in the Mesolithic, but there are no finds of cane arrows here. This isn't just an accident of survival, as altogether several dozen arrow shafts and shaft fragments survive from the time and place (even if you count certain mass finds as one). Over Northern Europe, there isn't any evidence of cane arrows even in the later periods (the Near East already in the Mesolithic has, the Mediterranean in the Antiquity has some, including ancient texts). Throughout eons, arrow shafts were made from select few split timber and shoot species. All kinds of technology was possible and useful and still not done, such is the anthropological reality.
Tuukka