Yeah, there's no reason Android can't do something like this. The way there's the Chromecast doohickey, you could probably buy something like an adapter for an outlet and plug something into it. That adapter is connected to the internet and therefore your Google Account and now you can control that outlet with your phone.
That's more of an aftermarket kind of thing, but my house has a central audio system (from the 90s, but....) but how hard would it be to have that system control the lights inside and outside of your house? I'm sure someone has this center console kind of thing in their kitchen or something. Why not make that exact thing, but running Android and connected to your home WiFi? Again, signed in through Google Accounts and some app on your device to control it.
I'm not that familiar with Nest, but there's an app for it, right? Where you can turn it on or off while you're out of the house or about to come home? I know security companies like ADT offer similar things as well.
All we need to do is figure out a way to get these home appliances linked up, like the oven and shit.