It is not permitted. Non-Catholics and Catholics in a state of mortal sin may not up for a blessing.
From the Congregation for Divine Worship and the Discipline of the Sacraments answering the question on whether blessings are permitted with five observations back on November 22, 2008. The document bears an protocol number, No. 930/08/L. Here is what the CDWDS wrote:
Quote:
- The liturgical blessing of the Holy Mass is properly given to each and to all at the conclusion of the Mass, just a few moments subsequent to the distribution of Holy Communion.
- Lay people, within the context of Holy Mass, are unable to confer blessings. These blessings, rather, are the competence of the priest (cf. Ecclesia de Mysterio, Notitiae 34 (15 Aug. 1997), art. 6, § 2; Canon 1169, § 2; and Roman Ritual De Benedictionibus (1985), n. 18).
- Furthermore, the laying on of a hand or hands — which has its own sacramental significance, inappropriate here — by those distributing Holy Communion, in substitution for its reception, is to be explicitly discouraged.
- The Apostolic Exhortation Familiaris Consortio n. 84, “forbids any pastor, for whatever reason to pretext even of a pastoral nature, to perform ceremonies of any kind for divorced people who remarry”. To be feared is that any form of blessing in substitution for communion would give the impression that the divorced and remarried have been returned, in some sense, to the status of Catholics in good standing.
**5. In a similar way, for others who are not to be admitted to Holy Communion in accord with the norm of law, the Church’s discipline has already made clear that they should not approach Holy Communion nor receive a blessing. This would include non-Catholics and those envisaged in can. 915 (i.e., those under the penalty of excommunication or interdict, and others who obstinately persist in manifest grave sin). **