Is it possible to get married in a Catholic Church after being married at a registry office?

It is not clear from this question whether the person who was married in a registry office has since been divorced and now wishes to marry a new partner in a church, or whether the couple wish to celebrate their existing civil marriage in church. If a married couple wish to celebrate their existing civil marriage in church, that should be no problem, although the couple would need to go to confession because their prior relationship may be considered 'sinful'. Most priests would handle this tactfully. If one party has been married before, in a registry office, and divorced, then an annulment of that marriage may be possible. While the Catholic Church does not recognise civil divorce, it does offer annulments where it believes the circumstances are justified. Since the Catholic Church regards marriage as a binding commitment, an annulment has the effect of saying that, in the view of the Church, the marriage never really happened.