Yes, you can add type to a perspective grid.
First you need the perspective grid visible before anything can be attached to it.
I'm not sure why but it seems the perspective menu is always greyed out for type, you can either convert to outlines first or attach it to the perspective grid with the Perspective Selection Tool (SHIFT+V) – Note that this will convert the type to outlines anyway.
To attach any object to a different plane on the perspective grid you can use the Plane Switching Widget that appears when you have a perspective grid visible.
From Adobe help pages:
when you select the Perspective Grid, a Plane Switching Widget also appears. You can use this widget to select the active grid plane. In Perspective Grid, an active plane is the plane on which you draw an object to project the observer’s view of that portion of the scene.
You can find out more about perspective grids from the Adobe help pages: