Is it normal to have a stiff neck with a cold? or do i have meningitis? i can touch my chest with my chin. i have no fever or headache

Meningitis: From what you describe, meninigitis is very unlikely. This is usually accompanied by headache, fever, photo and phonophobia, nausea and vomiting, neck stiffness as determined by a trained observer, alterations in sensorium and neurological function and other signs and symptoms. Since cannot diagnose over the internet if you remain concerned please go and see a doctor.

Meningitis: With no fever or headache and being able to touch you chin to your chest you do not have meningitis.