Yes. Any liturgy of any catholic rite on the day, or in the evening before, fulfills the obligation. Be warned: It is also the feast of St. Basil, so the DL of St Basil is used, and the propers are doubled for the double feast. Expect it to run over an hour, perhaps as long as 2 hours if many are present. (It’s not obligatory for Byzantines, so it might be light, or it might be packed; depends upon the community.)
Here’s the relevant CIC entry for the Latins:
Can. 1247 On Sundays and other holy days of obligation, the faithful are obliged to participate in the Mass.
Moreover, they are to abstain from those works and aVairs which hinder the worship to be rendered to God, the joy proper to the Lord’s day, or the suitable relaxation of mind and body.
Can. 1248 §1. A person who assists at a Mass celebrated anywhere in a Catholic rite either on the feast day itself or in the evening of the preceding day satisfies the obligation of participating in the Mass.
§2. If participation in the eucharistic celebration becomes impossible because of the absence of a sacred minister or for another grave cause, it is strongly recommended that the faithful take part in a liturgy of the word if such a liturgy is celebrated in a parish church or other sacred place according to the prescripts of the diocesan bishop or that they devote themselves to prayer for a suitable time alone, as a family, or, as the occasion permits, in groups of families.
Note especially Canon 1248…
Christ is Born!
Glorify Him
