Vancouver has piled up 10 points from its last four games and, with a 7-5-5 record, is in fourth place in the Western Conference.
Kansas City took the lead in the 35th minute on a goal from Aurelien Collin.
Camilo's tying goal came from 25 yards out. He bent the ball around the wall and just inside the right post.
Kansas City (7-5-6) shares third place in the Western Conference with Philadelphia.