No. The First Precept of the Church is to attend Mas on Sundays and Holy Days of obligation. Even in what is referred to here as the Novus Ordo or Councilor Church, where if a Holy Day falls on a Saturday or Monday the obligation is sometimes dispensed, that is not the case for Christmas this year. There is a distinct and required obligation of Mass attendance for BOTH the Fourth Sunday of Advent AND Christmas.
With that said, if a Mass that one considers appropriate isn't readily available (I "think" the obligation may not apply if one is 30 or more miles away, I'm uncertain of the exact criteria) or if one must work during the available Mass times, one may be dispensed. In these cases one is dispensed from the obligation, or the obligation doesn't apply because it isn't possible to fulfill it, one can't fulfill two obligations with one Mass attendance.