It is essential to note that Church Law functions a bit differently from the law in the U.S. Law, in general, serves to maintain minimum standards and may encourage particular actions. Church Law never obligates a person to do something impossible.
Sunday is always a celebration of the complete Paschal Mystery, including the resurrection of Jesus Christ. It is, for this reason, that the community of the faithful gathers. The Catechism of the Catholic Church reiterates the precept of the Sunday obligation while noting exceptions:
The Sunday Eucharist is the foundation and confirmation of all Christian practice. For this reason, the faithful are obliged to participate in the Eucharist on days of obligation, unless excused for a serious reason (for example, illness, the care of infants) or dispensed by their own pastor. Those who deliberately fail in this obligation commit a grave sin (CCC 2181).
The faithful are also to observe Sunday and Holy Days of Obligation as days of rest by avoiding work that hinders their worship of God (CCC 2185) or places a burden on others hindering their ability to worship God (CCC 2187). The obligation is not morally binding when it is impossible to be observed.
If because of the lack of a sacred minister or for other grave cause participation in the celebration of the Eucharist is impossible, it is especially recommended that the faithful take part in the Liturgy of the Word if it is celebrated in the parish church or in another sacred place according to the prescriptions of the diocesan bishop, or engage in prayer for an appropriate amount of time personally or in a family or, as occasion offers, in groups of families (CCC, 2183 citing Canon 1248.2).
What might a Catholic do on Sunday? There are numerous options, including: