On desktop you can find the save files here: C:\Users\USER\AppData\Local\Mountain_Eaters
On browser you can't really export saves atm.
But if you mean export to carry over to the full game, then sadly no because a lot of new stuff will be added and restructured, which would be difficult to keep properly functioning and not breaking. But I think the joy of these games is to replay them in fresh new light, and there will be a lot of new content to try, so I'd think as a player I'd want a clean new slate anyway.