[1] http://www.cnet.com/news/mozilla-says-no-plans-to-return-to-...
[2] http://thenextweb.com/apple/2013/04/04/will-chrome-for-ios-b...
So, while Google could probably build Chrome out of Javascript and run it atop the Firefox OS engine, it wouldn't make sense to do so. Asking if you can is basically like asking if you can create Chrome as a Firefox extension on Windows. Sure, you probably could with enough effort, but it would be a bit pointless in terms of functionality, speed, practicality, etc.
Additionally, this is a bit of a straw man that Apple fans trot out when people accuse Apple of being anti-competitive with iOS. It's not an equivalent situation. An equivalent situation would be if Google forbid other browser engines from running on Android. But, they don't. So, we have a nice competitive browser ecosystem on Android with solid browsers like Firefox that I use every day.
Apple's case, if I understand, is different, because you cannot generate code at runtime and hence you cannot compile something "just in time". Nothing about Firefox OS disallows this, and so the two situations are not comparable
Firefox OS is providing the same thing. They don't allow you to just replace the OS, which in this case is the browser, but all applications, including their own are written with the same APIs available to you the developer. They aren't writing some of their own apps in C++ and then demanding everyone else write in Javascript. Apple is writing their own JIT and then demanding that everyone else interpret, which is not at all equivalent.
The difference here is that the browser is the OS. So the OS is at a certain level which you cannot replace or step into willy nilly. Think of it like Windows enforcing Hardware access through its drivers, not allowing you to just send whatever you want to someone's disk drive and possibly do damage to the device. In the same way, they enforce a level of Memory protection through the runtime, and after that they are on the same footing as you. We accept these constraints when we run OSs all the time, and I don't see it as being much different here.