My cousin is four years old he is not talking or giving eye contact he does not like kisses or hugs could this be autism?

It is more complex: While avoiding eye contact and poor social skills are tell tale signs within Autism Spectrum Disorders, your cousin needs a thorough check by a pediatrician for proper assessment and possible referral to a specialist for a potential diagnosis.

Yes: Have him seen by his pediatrician. Make sure his hearing is normal. If there is still a question, ask for a referral to an autism specialist.