Unfortunately, this .rar file contains a .exe installer inside, so you still need a computer to unpack the game from the Windows executable installer. The Yume Nikki translation team didn't think this game might be played in non-Windows platforms some day.
By default, the game gets installed into
C:\Games\Yume Nikki with its own installer:
Then, you need to go to that
Games folder and copy the Yume Nikki folder into your Android device.
Because MTP protocol is slow, I suggest to compress the
Yume Nikki folder into a rar or 7z archive (zip may be problematic with file encodings) and unpack it in the phone. This game files with bad encoding, e.g.:
Which corresponds to shift_jis to 1252 mojibake. These files should be moved with this weird name as-is, the English translator did a bad work here, unfortunately.