Thesis: Yes, private individuals can recognise someone as a heretic before the direct judgment of the church, on certain conditions, namely:
Proofs of the Thesis
The second paragraph of the same canon requires that the fact in question (public heresy and consequent automatic dismissal) be declared by the superior. The canonists agree that public abandonment of the Catholic Faith would be fulfilled by any case of public heresy. In view of the second paragraph, the Holy See was consulted as to whether the dismissal was conditional upon the superior's declaration. The Commission for the Interpretation of the Code replied, 30th July 1934, in the negative. The canonist Jone explains that the superior's declaration does not involve any trial and serves simply to make known facts that have already taken effect: the heresy and the dismissal which it produces.
Manifestly, therefore, the superior and the other religious must be able to recognise the fact of heresy in order to draw the practical conclusions that flow from it.
Now this theological teaching would be worthless and indeed absurd if the faithful were unable, at least sometimes, to recognise heretics and to draw practical consequences from their recognition. St Robert Bellarmine's treatment of this topic in his De Romano Pontifice is of exceptional value and weight. He considers as utterly without theological probability the opposing opinion (i.e. that a manifestly heretical pope - if God permitted such to exist - would not be automatically deprived of all offices, in common with all other manifest heretics). And among the five recognised theological opinions which he lists concerning the case of a heretical pope, the idea that it would be impossible to recognise such a case because pertinacity cannot be known with sufficient certainty does not even figure at all.
(a) The most striking is the passage in St Paul's Epistle to the Galatians: "But though we or an angel from heaven preach a gospel to you besides that which we have preached to you, let him be anathema. As we said before, so now I say again: if anyone preach to you a gospel besides that which you have received, let him be anathema." (1:8,9) St Paul does not simply warn his converts to reject the novel doctrines; he instructs them to pass judgment - the most severe of all judgments - on the person responsible for disseminating them: anathema, with all that the word implies. And since it is clearly not appropriate to pronounce anathema against a Catholic who errs in good faith, it is plain that St Paul believes that the Galatians are able to distinguish pertinacious heresy from innocent mistakes in the doctrinal order.
(b) St Paul commands Titus: "A man that is a heretic, after the first and second admonition avoid, knowing that he that is such a one is subverted and sinneth, being condemned by his own judgment." (3:10,11) Cornelius a Lapide and St Robert Bellarmine understand this passage as meaning that the warnings are required when it is doubtful whether or not someone is truly pertinacious in heresy. In the case of manifest heresy, no warning would be necessary. Our Code of Canon Law retains this distinction. (See J F Lane: The Loss of Ecclesiastical Offices: Is Holy Church Unprotected? Perth 1999)
(c) "Beware of false prophets who come to you in the clothing of sheep, but inwardly they are ravening wolves." (Matthew 7:15) Such is the solemn warning of Our Lord Jesus Christ on the subject of those heretics who disguise their errors by pretending to be faithful Catholics. Some of Karol Wojtyla's apologists seem to have the impression that Catholics must take great care to avoid accidentally rejecting an innocent sheep which had the misfortune to be dressed as a wolf, but Our Lord declares the opposite. He tells us to beware even of disguised heretics (explanation of Cornelius a Lapide, ad locum), which would not be possible if we were unable to penetrate beyond their disguise ("sheep's clothing") to recognise their obstinate rejection of the Church's faith, despite their deceptive protestations of orthodoxy.