It seems like you forgot to post the answer choices. However, bats are one animal where they can fly but they aren't birds. So this is one counter-example to prove the claim false. Another example would be any flying insects.
B would be incorrect as it is not a counterexample to the claim. C would be incorrect as a chipmunk is not a bird. And D would be incorrect as the claim says "All animals that can fly are birds" it doesn't say "every bird" or "all birds can fly" So A is the logical choice and according to what Jimthompson5910 said "bats are one animal where they can fly but they aren't birds."
