As far as I've learned, The Futhark (Norse alphabeth) was the first form of writing in Scandinavia, and was developed before the norse had any contact with other peoples.
The runic alphabet was not an independent invention. It was inspired by the Roman alphabet, but it was adapted to Northern European languages. This called for the introduction of a few new characters. Its sharp angular lines were apparently part of an adaptation for carving in wood, ivory/bone, and stone.