Apart from any claim related to antiquity, does the modern Roman Catholic Church claim to be ‘The Body of Christ'?

An argument to be the Universal Church (made by any organisation) might be the argument of continuity and antiquity, that an organisation can trace its existence back to antiquity such that it can trace a continuous presence in the world back to the time of the Apostles. Laying that argument aside, does the present day Church of Rome have any claim or argument to make that it can be genuinely called 'The Body of Christ'?