No. He got permission from the Romans... they didn't care a whit who got the body.
John19:38 And after this Joseph of Arimathaea, being a disciple of Jesus, but secretly because of 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.
Matthew 27:57 When the even was come, there came a rich man of Arimathaea, named Joseph, who also himself was Jesus' disciple:
verse 58 He went to *Pilate*, and begged the body of Jesus.
Then Pilate commanded the body to be delivered.
59 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.
62-66 Tells that Pilate sat a watch over the tomb because that chief priest and Pharisees demanded it.
Mark 15:43 Joseph of Arimathaea, an honourable counsellor, which also waited for the kingdom of God, came, and went in boldly unto Pilate, and craved the body of Jesus. (This word crave is Strong's Greek 154 can also mean; to ask; beg, call for, crave, desire, require)
44 And Pilate marvelled if He were already dead: and calling unto him the centurion, he asked him whether He had been any while dead.
45 And when he knew it of the centurion, he gave the body to Joseph.
46 And he bought fine linen, and took Him down, and wrapped Him in the linen, and laid Him in a sepulchre which was hewn out of a rock, and rolled a stone unto the door of the sepulchre.
Luke 23:50 And, behold, there as a man named Joseph, a counsellor; and he was a good man, and a *just*:
51 (The same had not consented to the counsel and deed of them;) he was of Arimathaea, a city of the Jews: (dates back to Samuel) who also himself waited for the kingdom of God. (Joseph was also a member of the Sanhedrin and he took no part in the delivering up and demand for the death of Christ. God does protect His own.)
52 This man went unto Pilate, and begged the body of Jesus.
Now Joseph of Arimathaea would have been required to show cause to be requesting of Pilate the body of Christ. Pilate did exactly what the Heavenly Father required of him to do.