@retiolus No very different purposes as far as I know, though I know way less about Noia and might have some details wrong.
Noia as I understand it facilitates data/packet routing, I think they envision one day replacing the IPv4/6 protocol for routing packets around the internet.. at least thats what I understand of it from investing all of 30 seconds into looking into them in the past, I could be way off.
StorJ however is a distributed file storage system and crypto token. It is similar to Filecoin but instead of being its own cryptocurrency it is an Ethereum token (which act similar to being its own cryptocurrency but is effectively a side-chain on the ethereum chain).