Half penis enter inside vegina but hymen of vegina is broken in childhood but precum present in boy but there is no lubrication is it causes hiv to woman?

Any exchange/contact of bodily fluids during sexual contact can transmit a STD. HIV transmission is less likely if/when there is minor contact and no bloody transfer.

HALF A PENIS IS AS DANGEROUS AS A FULL PENIS. YOU CAN STILL GET HIV,HPV, HERPES AND STD'S. PRACTICE SAFE SEX AND ELIMINATE ANY DANGER.

What you described is conducive to transmission of HIV. Visit this site for information: https://www.cdc.gov/hiv/basics/transmission.html