Can I refuse immediate family members or relatives to enter the United States after immigrating to the United States?

I can't understand your question. After you immigrated to the United States, who rejected your immediate family or your relatives? Although you immigrated to the United States, you have no right to refuse your immediate family members or your relatives to enter the United States. Do you mean the US Immigration Service? If the US Immigration Bureau wants to deny your immediate family members or your relatives entry into the United States, then it is ok not to issue them visas directly. If they can successfully obtain an American visa, then the US Immigration Service cannot refuse them entry into the United States.