Okay, I researched this a bit and here is how I should believe it's done (I don't own any android device so I couldn't test this):
1. Get root access.
2. As there is no Wine APK you will have to compile Wine from source. So here's the download link for it: http://heanet.dl.sourceforge.net/project/wine/Source/1.1.27/wine-1.1.27.tar.bz2
3. Follow these steps to install: http://www.winehq.org/docs/wineusr-guide/installing-wine-source
If there are some packages you need, get them. This is the part you need the root access for.
4.The easiest way is to get a Yume Nikki installer and run it with Wine. That way you don't have to install the RTP separately. Then again, if you want to play 2kki or .flow or something like that you need the rtp installer, too.
5.Now you should be able to run rtp_rt.exe with Wine and as such be able to play yume nikki.