I would answer no to both your questions. There might be ways of doing it, but that would negate many of the benefits of using Mate. PureMVC and Mate are very different application frameworks and many things are fundamentally different.
As I have understood PureMVC, mediators are used to update the views when the model has changed. The way they do this is by respoding to events and pushing data into the views. In Mate this is instead done using bindings. The tags Injectors and PropertyInjector is the means by which these bindings are set up.
In response to an event you should call methods on a manager object, and let the view be notified that the manager has changed by way of bindings.
Say that you have an event "removeEmployee", this could be caught by an EventHandlers which contains a MethodInvoker that calls a method called "removeEmployee" on a manager of the type EmployeeManager. The empoyee manager updates it's state accordingly, removing the employee from its list of employees. This doesn't update the view directly, in fact the view isn't involved in this process at all.
Elsewhere in the event map we can set up an Injectors tag for an EmployeeListView. The tag contains a PropertyInjector that binds the view's "employeeList" property to the employee manager's "employeeList" property.
This means that there is no need for a mediator which explicitly updates the view. The view gets updated implicitly when the manager object changes. This leads to less "glue code" and a more decoupled architecture. The downside is that it is more indirect and it can be hard to understand how things happen, when and why (and why not) they happen.
I hope that this explains some of what you were wondering about.
By the way, there is one aspect of PureMVC's mediators that isn't covered in the discussion above. Mediators also insulate the views from the rest of the application. There is no equivalent in the Mate framework, but Nahuel and I have been discussing how to use the Presentation Model pattern in Mate (see http://mate.asfusion.com/forums/topic.php?id=40), although I think we've agreed to call it "model adapter". The idea is that there is an object mediating between the view and the application. It adapts the application model to something that the view can use, and it translates the actions the user performs on the view into application events (a.k.a. "gestures"). The fundamental difference to PureMVC's mediators is that the view knows about the adapter, but the adapter doesn't know about the view. In fact, the adapter only knows about the things that are injected into it (by the same Injectors as in my example above, that is, instead of the view being bound to the employee manager, the adapter is, and the view binds to the adapter).