My social security card is bound in Baoan Fuyong. Can I transfer to Shenzhen People's Hospital?

Direct referral is definitely not possible, unless the social health hospital you are now bound to is a social health hospital affiliated to Shenzhen People's Hospital, otherwise you can't transfer directly. Or you can change the bound social health hospital and bind it to the affiliated social health hospital of Shenzhen People's Hospital before you can refer it to the Municipal People's Hospital through social health.