If one means e.g. a cat like species giving rise to a new cat like species then the answer is yes. Even young earth creationists have no problem with this. They accept that within a "kind" different species can evolve. (one dog like species evolved into wild dogs, wolves, coyotes, etc.) If however you mean that a dinosaur evolves into a bird then the answer is no. (there are bird fossils that are older than many dinosaur fossils and these bird fossils are also older than archeopteryx) All the transitional fossils between different phyla are questionable or have been shown not to be transitional at all. It all depends on ones perspective. Experiments with fruit flies just gave rise to more flies and not to a non-insect like species. I hope that this helps.