Did Little Forrest have aids?

Im pretty sure he did. Its almost certain Jenny contracted it from her days of whoring and drug use before hooking up with Forrest(and thus possibly giving it to him as well) as its not likely she would of continued partying like she did once she learned she was pregnant(or if she did Little Forrest should of have massive birth defects from drug/alcohol use while in the womb). Of course there is always this little tidbit as well;