I understand that you would combine the Hill plasticity criterion with the Chaboche elastoplastic model. In fact the elastoplastic Chaboche model has been formulated for isotropic materials only and the generalization of the model to anisotropic materials is not straightforward. I think the main difficulty comes from the generalization to anisotropic materials of the Armstrong Frederick law for the back stress tensor. So I don't think that it is realistic to do such association.
Yes, it is possible. Basically, the Chaboche plasticity model relates mostly to isotropic while the Hill plasticity criterion relates to anisotropic plasticity. Thus if you have a constitutive modelling (where a material is loaded, and the response to these various loadings is studied), more than one modelling parameter will be used. Such as with Chaboche and Hill....