Through His will, not their own.
Romans 9:16 So then it is not of him who wills, nor of him who runs, but of God who shows mercy.
Yes. Thru the will of God, whosoever believes shall be saved. "But to all who did receive him, who believed in his name, he gave the right to become children of God..."
God's doing and his plan, not man's.
On Romans 3 we agree. "For we have already charged that all, both Jews and Greeks, are under sin..." We are all sinners, and none of us deserve any good thing from God.
And Romans goes on:
21But now the righteousness of God has been manifested apart from the law, although the Law and the Prophets bear witness to it— 22the righteousness of God through faith in Jesus Christ for all who believe. For there is no distinction: 23for all have sinned and fall short of the glory of God, 24 and are justified by his grace as a gift, through the redemption that is in Christ Jesus, 25whom God put forward as a propitiation by his blood, to be received by faith.