Nope. The Catholic Church often recognizes protestant marriages as valid.
A valid Catholic marriage results from four elements: (1) the spouses are free to marry; (2) they freely exchange their consent; (3) in consenting to marry, they have the intention to marry for life, to be faithful to one another and be open to children; and (4) their consent is given in the presence of two witnesses and before a properly authorized Church minister. Exceptions to the last requirement must be approved by church authority.
Protestant marriages require approval from a Catholic authority to be valid. It is my understanding that converts to Catholicism can easily have their protestant marriage blessed to make it a valid marriage. But normally, a Catholic marriage is a liturgical sacrament (celebrated during Mass). A Protestant marriage is never performed during a Catholic Mass.