Straight forward question: can a Christian be saved WITHOUT doing these "produced works"???
A Christian is already saved. He is a part of Jesus Christ's Body (Eph. 5:30).
If a Christian does not do good works after getting saved, well then that Christian will have nothing to show for at the Judgment Seat of Christ and in eternity. He will still be saved; yet so as by fire (1 Cor. 3:15).
And he will be known in eternity as the Christian who never did anything for Christ. And what a tragedy that would be.