What kind of classifiers are you planning to use? I haven't seen such a thing in action but theoretically, it should be possible if it is a BA classifier because the traffic received at the ingress will first process classifier and then the policer.
traffic (ingresses) --> BA Classifier --> Policer --> Multifield Classifier --> next steps
This can be tried out too if you already have a setup.
Do let me know if this works and "accept as a solution" to mark the answer.