Can't select vertices of different meshes in edit mode why can't i select two objects in edit mode?     I am trying to make a face from two different meshes but can't perform the action
Distinct objects can't share faces. If you're using blender versions before the (currently Beta) v.2.80 they can't even be edited simultaneously in Edit Mode.

If you need to make two meshes a single object, in order to be able to bridge vertices belonging to both of them, then in Object Mode select both and Join Meshes (CtrlJ). Then Edit the newly created joint object.