User blog comment:Kogath/Monster Hunter 4 Ultimate for the Nintendo 3DS/@comment-4452412-20140210175436/@comment-1758220-20140210190942

I'll be surprised if there isn't. I'm pretty sure every MH game has had a demo, at least in Japan. They released an eshop demo for MH3U about a month before it released, so I predict they'll do the same for MH4U.