This chapter - the Entry into Jerusalem - has not been changed by Canonical Mark.
Matthew agreed with Mark that the story of the blind beggar followed Jesus's exit from Jericho; he also included Mark's "crowd". But while Luke agreed with Mark and Matthew that the story followed the Third Prophecy of the Passion (Mark 10:32-34 = Luke 18:31-34 = Matt 21:17-19), he was more free with the tradition. Luke placed this story before the entrance into Jericho because he had another story/parable to share (Luke 19:1-27), and felt that Jericho would be a good setting for it; it was the last narrative stop on the way to Jerusalem. Luke also left out the crowd - and the presumption of James and John (Mark 10:35-45 = Matt 21:20-28). Instead, he spread the blame throughout the disciples and moved the story to the end (Luke 22:24-26).