No, cats should not eat ladybugs. Ladybugs are not toxic to cats, but they can be harmful if ingested in large quantities. Ladybugs secrete a yellowish substance called reflex blood, which can cause a cat to drool, vomit, and experience digestive upset. Additionally, some ladybugs may carry parasites or diseases that can be harmful to cats. Therefore, it's best to prevent your cat from eating ladybugs or any other insects, and to provide them with a balanced and nutritionally complete cat food recommended by a veterinarian. If you suspect that your cat has ingested ladybugs or any other harmful substance, please contact your veterinarian immediately.