Does the number of chromosomes correspond to the complexity of an organism?

No, not at all. Adders-tongue, a plant, has 1260 chromosomes whereas humans have 46. A few more examples; pineapples 50, elephant 56, potato 48. We wouldn't consider potatoes more complex than we are at all. Chromosome count has nothing to do with complexity, intelligence, or any other way we try to rate ourselves and other species.