Well, the PsiXpda is already running XP. I suppose if you installed Linux on it, it could then run the application through WINE, but performance probably won't be great.
The others certainly have no chance though. The PC-Z1 is not x86 based so WINE won't run on it (and you would be a bit limited in Linux choices as well), and the Kindle is just an eBook, it has no capability of installing a serious OS, much less run WINE. Perhaps you were thinking of the nook, which at least has an LCD and runs Android (though you couldn't run WINE on that either).