The Vita wouldn't be able to handle it.. lol or should I say Sony wouldn't be able to handle it lol, since the PS3 version of home 99% of the time lately you can't even get on. Also, as much trouble they are having with it on the PS3, I really don't think Sony will waste their time trying to get it on the Vita, they will be wasting their time trying to get developers to come out with new games for the Vita..
So, no.. I don't see Home coming to the Vita.
Every now & then I get suckered in by the announcement of some Home-only game, only to find out that I have to redownload half of freaking Home for the nth time. I don't bother anymore, it's just a great way to kill the Internet pipe periodically. Putting on the Vita... how many memory cards would that take? ;-)