Kind of a general question... you can certainly render grass shadows pretty well with cascaded shadow maps, for instance, and cascaded shadow maps work fine on consoles.  Do you mean more specifically?

The question is more - would you actually  want to do that, since rendering all of the grass into a shadow map is far from free and of arguable visual impact.  Doubly so if you mean that you want the shadows to cast ON to grass, though again, certainly doable with (amongst other things) cascaded shadow maps.