No. In concluding an elaborate discussion on Abraham’s faith in Romans 3:1–31, Paul again returns to the quote regarding Abraham’s righteousness with which he had begun (Genesis 15:6 is quoted in Romans 4:3 and again in Romans 4:22). The discussion regarding Abraham’s faith served to show that faith is not restricted to the nation who received the law at Sinai (see also Neubrand1 in this regard). When Paul then writes concerning the scriptural statement about Abraham’s justification by faith that it was not written for his sake alone, but for ours also [and] will be counted to us who believe in him who raised from the dead Jesus our Lord,
he is referring to his contemporaries who believed in the God of Abraham because he raised Jesus (their Lord) from the dead. He thereby emphasises that this includes both Jews under the law and Gentiles from outside of the people of Israel. These Christians believed, just as Abraham, that God has power to give life to the dead and to simply call things into existence (cf. Romans 4:17b). God therefore accepts them together with Abraham (Romans 4:23–24).2
22 That is why his faith was “counted to him as righteousness.”