No. Part of the basis of salvation is faith in the Lord Jesus (John 3:16; Acts 4:12) so, to be saved, people — including Israelites — need to believe in him and what God did through him.

Rom. 9:30-10:21 talks about this in some detail.

(Also see, ‘Will God save Israelites simply because they are his chosen people even if they are not righteous?‘.)

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