I remember this specific point being addressed at Sunday school when I was a kid with the story of the resurrection.
Put very briefly, Jesus was put in a tomb in quite a hurry because he died late in the afternoon on Friday. The next day was the Sabbath, meaning they could not do any work to prepare the body that day and obviously they were not going to just leave him there on the cross. On Sunday the women returned to the tomb to complete the burial process properly, but there was no need because he had resurrected already.
So, it is at least possible that he was not correctly wrapped as per tradition given the rush to get him in a tomb overnight.
Here's what scripture says in support.
"50Now there was a man named Joseph, a member of the Council, a good and upright man, 51 who had not consented to their decision and action. He came from the Judean town of Arimathea, and he himself was waiting for the kingdom of God. 52 Going to Pilate, he asked for Jesus’ body. 53 Then he took it down, wrapped it in linen cloth and placed it in a tomb cut in the rock, one in which no one had yet been laid. 54 It was Preparation Day, and the Sabbath was about to begin. 55 The women who had come with Jesus from Galilee followed Joseph and saw the tomb and how his body was laid in it. 56 Then they went home and prepared spices and perfumes. But they rested on the Sabbath in obedience to the commandment.
Luke 23 50-56