The Catholic Church says yes, the Orthodox vary in answer, sometimes even parish by parish. Ask the pastor of the Orthodox parish.
Actually the short answer is no.
The long answer is that in emergencies, that is where death is possible, then yes, just as any priest may hear a confession.
In the normal practice of things faculties from the local ordinary are required for the validity of the Sacrament.
Here from the Code of Canon Law;
Can. 966 §1 For the valid absolution of sins, it is required that, in addition to the power of order, the minister has the faculty to exercise that power in respect of the faithful to whom he gives absolution.
§2 A priest can be given this faculty either by the law itself, or by a concession issued by the competent authority in accordance with can. 969.
And from the Code of Canons of Oriental Churches;
**Canon 722
1.** Only a priest is the minister of the sacrament of penance.
2. All bishops by the law itself can administer the sacrament of penance everywhere, unless with regard to liceity, the eparchial bishop denies it in a special case.
3. For presbyters to act validly, they must be previously granted the faculty of administering the sacrament of penance, which is conferred either by the law itself or by a special grant made by a competent authority.
4. Priests who are endowed with this faulty by virtue of their office or by virtue of the grant of the local hierarch of the eparchy in which they are enrolled or in which they have domicile, can validly administer the sacrament of penance anywhere to any Christian faithful, unless the local hierarch in a special case expressly denies it; the same faculties are licitly used observing the norms made by the eparchial bishop and also with at least the presumed permission of the rector of the church or the superior, if it is a case of a house of an institute of consecrated life.