Unfortunately, no -- and at several levels.
Even if we assume a fixed set of background assumptions, the field of statistics shows that a Bayesian vs frequentist vs likelihood frameworks can give different answers to "what ought we to infer from the data?"
Stepping back, we have the Duhem-Quine Thesis of the underdetermination of scientific theories, so even if we all adhered to the same inferential framework and priors, we'd still be forced to decide what hypotheses to keep vs modify in cases where we have dis-confirmatory evidence.
So, there is no strict sense of "ought" in inference. However, there is "common sense" inference of the kind used in legal discussions, where we do actually try to argue what you ought to have concluded in a particular situation (e.g., negligence claims, tort law, malpractice etc).