You can implement MVC in Android, but it is not "natively supported" and takes some effort.
That said, I personally tend towards MVP as a much cleaner architectural pattern for Android development. And by saying MVP I mean this:

I have also posted a more detailed answer herehere.
After playing with the various approaches to MVC/MVP implementation in Android, I came up with a reasonable architectural pattern, which I described in a this post: MVP and MVC Architectural Patterns in Android.