No, most Copts are not in full communion with Rome and haven’t been since the fallout after the Council of Chalcedon in the 5th century.
That being said, from a Catholic perspective, they have apostolic succession and valid sacraments. During the reign of Pope St John Paul II, the Catholic and Coptic Orthodox Churches signed a common declaration on Christology - a huge milestone as this was the dividing issue at Chalcedon. Recently, under Pope Francis, our Churches signed a common recognition of each other’s baptisms. For a time, the Coptic Orthodox has been rebaptizing Catholic converts.
There is a Coptic Catholic Church, in full communion with Rome, but it is small: a couple hundred thousand faithful. Their Patriarch arguably ranks second after the Pope among Catholic Bishops, as Patriarch of Alexandria.