Coming from an IGN interview with Tequila Works...

The Nintendo Switch version is being developed by Tantalus, the studio behind the HD version of The Legend of Zelda: Twilight Princess. We worked side by side with them to ensure the Nintendo Switch version is absolutely true to the original vision we have for RiME, and they are doing a terrific work indeed! We are really enthusiastic about Nintendo Switch and we are immensely happy about releasing RiME on that console, but it’s too early to discuss future developments. Let’s finish RiME first! :)

There is still a lot of development to take into consideration, but we’re working hard to get the Nintendo Switch version ready for release at the same time as the PlayStation 4, Xbox One and Windows PC versions in May. We'll have more info to share in the months to come.

Even more exciting, the possibility of a physical release is currently being explored. No official word yet, but keep your fingers crossed.