Yes, if a cat is scratched, it is best to give it an injection to prevent infection and protect its health.
If you scratch a cat, you need an injection. Since sick cats and sick dogs are common sources of infection for rabies, after being scratched by cats, local skin should be disinfected first, and then rabies vaccine injections should be administered at the local Center for Disease Control or Hospital.
After injection, it depends on the specific situation of the wound, and immunoglobulin should be used if necessary. If the wound is deep, you may also need to inject tetanus antitoxin to prevent infection. If it is a cat who has been at home and has been vaccinated on schedule, then you can avoid the injection.