Is this currently supported?
I don't believe it is.
I've never used Storyboards to build anything other than a demo app - so I'm not an expert.
However, from what I know I think there are 3 problems that you would need to overcome.
1. Storyboards don't have code in FinishedLaunching
This is easy to solve I think - you can just add an override to FinishedLaunching which calls an MvvmCross Setup class in order to initialise IoC, Plugins, your App, etc.
2. MvvmCross vNext requires you to override the constructors to forms like
public DetailViewController (MvxShowViewModelRequest request) {
}
while Storyboards require the use of forms like:
public DetailViewController (IntPtr handle) {
}
Overcoming this is harder... but the good news is that it should be a lot easier in v3 - one of the stated aims of v3 is to somehow support storyboards - see http://slodge.blogspot.co.uk/2013/02/mvvmcross-v3.html
3. Clash of concepts
If you are using Storyboards, then the navigation logic is tied to the Storyboard and to the UIViewController.
If you are using MvvmCross, then the navigation logic is tied to the ViewModels.
Overcoming this would be relatively straight-forward - you can easily mix and match concepts - but you might find your ViewModels and Views feeling 'a bit odd' as a result.
Summary
Doing this today is possible but would require some hours of hacking.
A beta of v3 is due very soon (within weeks - just depends on my spare time). Once that is available I think you'd be able to get started much quicker.