This blog post by Taylor Marshall suggests that Saint Joseph might also have been granted an assumption to Heaven, like the Virgin Mary.
To the contrary, Saint Bridget of Sweden received this private revelation from the Virgin Mary: “Know, too, that there is no human body in Heaven but the glorious body of my Son and mine.” Saint Bridget of Sweden, Revelations to St. Bridget, (Rockford, Illinois: TAN Books, 1984) p. 69.
The Apostolic Constitution on the Assumption of the Virgin Mary states that her Immaculate Conception and her Assumption are closely related, that Mary’s Assumption was a result of her Immaculate Conception, and that her Immaculate Conception was “an entirely unique privilege”. Since this privilege of an Immaculate Conception is entirely unique, Saint Joseph could not have had an Immaculate Conception. And since the Assumption of Mary was a result of her Immaculate Conception, Saint Joseph also could not have had an Assumption. He is present in Heaven in soul only, not with body and soul united, until the Resurrection.
“Now God has willed that the Blessed Virgin Mary should be exempted from this general rule. She, by an entirely unique privilege, completely overcame sin by her Immaculate Conception, and as a result she was not subject to the law of remaining in the corruption of the grave, and she did not have to wait until the end of time for the redemption of her body.” Pope Pius XII, Munificentissimus Deus, n. 5.
Concerning the Scripture passage on the holy persons who went out from their tombs at the time of the Resurrection of Christ (Mt 27:52), Blessed Anne Catherine Emmerich states:
“Many of these holy souls were ordered by our Lord to return to the earth, re-enter their own bodies, and thus render a solemn and impressive testimony to the truth. It was at this moment that so many dead persons left their tombs in Jerusalem; I regarded them less in the light of dead persons risen again than as corpses put in motion by a divine power, and which, after having fulfilled the mission entrusted to them, were laid aside in the same manner as the insignia of office are taken off by a clerk when he has executed the orders of his superiors.” Emmerich, The Dolorous Passion of Our Lord Jesus Christ, chapter LIX.
The event of Mt 27:52 was not a true resurrection, but only a sign of the future Resurrection of the just. Otherwise, we would have to hold that those resurrected persons are still among us, an idea contrary to reason and manifestly false, or that all those resurrected persons were given an Assumption, an idea contrary to Mary’s words to Saint Bridget and contrary to the teaching of Munificentissimus Deus.
Therefore, Saint Joseph has not yet received a Resurrection or Assumption, as the Blessed Virgin Mary has received.