No. Well at least if Nintendo never intend to go down that route.
There's a always the opportunity to do it and they never closed off that route. Skyward Sword never once screamed series' prequel to me or origin story. Instead, it seemed like the origin story of the Master Sword more so than anything else. I don't really buy into the whole Demise curse and I certainly don't think he's the source of all evil - it says he's the source of all monsters, but that's rather ambiguous. "Source" doesn't mean created for one, and that quote can easily be referring to the present. There is essentially no confirmation for Demise being the first evil existing in the world, the God of evil, the devil etc. It's all just an assumption based on a rather ambiguous quote that can be twisted in so many ways and I think Nintendo intentionally intended for that.
What do we exactly know about before Skyward Sword then? We know at the beginning of time, Hyrule was created and Hylia was trusted to guard the Triforce. Then we have this unspecified gap (could be any period of time) between this and when Demise attacks. Honestly, this could be thousands of years. This tale is told from the perspective of Skyward Sword, so it's not going to include the events beforehand, only when Demise attacked. So there is a window for a game (maybe multiple) between the Creation and when Demise attacked. Of course we know Ganondorf could have never existed, but who's to say another villain didn't? Or let's say it's Demise again and the plot in SS was one of his many raids on Hyrule (a la Ganondorf braking the seal numerous times). Another big thing is that SS Link is never defined as being the original; where did he get the clothes from? The knights? Well they might wear said gear in recognition of a past hero (Wind Waker anybody?) Plus wasn't the Kokori meant to be the explanation for Link's attire? Meh, point is, there is no significant evidence to point that this Link is the first incarnation.
So, I think there's a big chance we'll get another prequel, maybe not for some time, but it's definitely a possibility.