"Notwithstanding the disciples had been disappointed in their hopes concerning Jesus, they yet loved Him and desired to give His body an honored burial, but knew not how to obtain it. Joseph of Arimathaea, a wealthy and influential councilor of the Jews and a true disciple of Jesus, went privately yet boldly to Pilate and begged from him the Saviour's body. He dared not go openly, because of the hatred of the Jews. The disciples feared that an effort would be made by them to prevent the body of Christ from having an honored resting place. Pilate granted the request, and the disciples took the lifeless form down from the cross, while in deep anguish they mourned over their blighted hopes. Carefully the body was wrapped in fine linen, and laid in Joseph's new sepulcher. EW 180.1"
"And after this Joseph of Arimathea, being a disciple of Jesus, but secretly for fear of the Jews, besought Pilate that he might take away the body of Jesus: and Pilate gave him leave. He came therefore, and took the body of Jesus."
The EGW passage directly references Joseph of Arimathea's actions, motivations (fear of the Jews), and Pilate's permission to take the body, all of which are central to John 19:38.
"When the even was come, there came a rich man of Arimathea, named Joseph, who also himself was Jesus’ disciple: He went to Pilate, and begged the body of Jesus. Then Pilate commanded the body to be delivered. And when Joseph had taken the body, he wrapped it in a clean linen cloth, And laid it in his own new tomb, which he had hewn out in the rock: and he rolled a great stone to the door of the sepulchre, and departed."
Both passages describe Joseph of Arimathea, his wealth, his discipleship, his request for Jesus' body, Pilate's granting of the request, the wrapping of the body in linen, and the laying of the body in a new tomb. While not a direct quote, the passages share a common narrative and details.
"The women who had been Christ's humble followers while He lived, would not leave Him until they saw Him laid in the tomb and a stone of great weight placed before the door, lest His enemies should seek to obtain His body. But they need not have feared; for I saw that the angelic host watched with untold interest in the resting place of Jesus, earnestly waiting for the command to act their part in liberating the King of glory from His prison house. EW 180.2"
"So they went, and made the sepulchre sure, sealing the stone, and setting a watch."
Both passages describe the concern about the tomb being disturbed. Matthew 27:66 describes the sealing of the stone and setting a watch, while EGW describes the women's concern and the angelic host watching. The passages share a common theme of securing the tomb.