Not exactly. While it is true that the person remains Catholic, they are no longer in communion (out of, and
communio or communicatio, communion — exclusion from the communion) with the Church and may not receive any sacraments. The Catholic Encyclopedia says:
Meanwhile, his status before the Church is that of a stranger. He may not participate in public worship nor receive the Body of Christ or any of the sacraments. Moreover, if he be a cleric, he is forbidden to administer a sacred rite or to exercise an act of spiritual authority.
Okay, true enough as far as the sacraments, with one exception. The Sacrament of Reconciliation is required in order for an excommunicant to receive absolution and return to full communion with the Church. This absolution may be granted by the Pope, a bishop, or a specifically designated priest (or any priest if death is imminent). See
CCC #1463.
As far as prohibition from “engaging in public worship,” that’s not entirely accurate. An excommunicant is forbidden from having a
ministerial role in Mass and receiving the Eucharist, but is not prohibited from attending. See
Code of Canon Law Chapter I, Can. 1331.