Yes, there is a remnant. Then and today.
Rom 11:3 Lord, they have killed thy prophets, and digged down thine altars; and I am left alone, and they seek my life.
Rom 11:4 But what saith the answer of God unto him? I have reserved to myself seven thousand men, who have not bowed the knee to the image of Baal.
Rom 11:5 Even so then at this present time also there is a remnant according to the election of grace.
Rom 11:6 And if by grace, then is it no more of works: otherwise grace is no more grace. But if it be of works, then is it no more grace: otherwise work is no more work.
There is a warning to heed.
Rom 11:18 Boast not against the branches. But if thou boast, thou bearest not the root, but the root thee.
Rom 11:19 Thou wilt say then, The branches were broken off, that I might be graffed in.
Rom 11:20 Well; because of unbelief they were broken off, and thou standest by faith. Be not highminded, but fear:
Rom 11:21 For if God spared not the natural branches, take heed lest he also spare not thee.
Rom 11:22 Behold therefore the goodness and severity of God: on them which fell, severity; but toward thee, goodness, if thou continue in his goodness: otherwise thou also shalt be cut off.
Rom 11:23 And they also, if they abide not still in unbelief, shall be graffed in: for God is able to graff them in again.
Romans 11:21 Gill
For if God spared not the natural branches,…. That is, executed his righteous judgments, inflicted due punishment upon the Jews, unchurched them, and stripped them of those privileges they enjoyed in a church state; who were the natural descendants of Abraham; were naturally, and as born into the world, in a national church state and in that national covenant God made with that people; to whom belonged a national adoption, in which sense they were the sons of God, his firstborn; they were chosen by him as a special and peculiar people, to very great favours and privileges; they were Christ’s own, he came of them according to the flesh, and was particularly sent unto them, and ministered among them; wherefore, if, at last, God did not spare this people, though he had for a long time done it, but stirred up all his wrath against them, they disbelieving his Son, rejecting and despising the Messiah, and salvation by him, this should awaken the fear, care, and caution of the Gentiles in a church state, lest if they behave not well, he should deal in like manner with them:
take heed lest he also spare not thee; for whatever was done to the Jews in former or latter times, are written for the instruction and admonition of Gentiles; and the use they are to make thereof is, to be careful and cautious, lest by imbibing principles derogatory from the grace of God and glory of Christ, or by an unbecoming walk and conversation they provoke the Lord to unchurch them as he has done the Jews before them; and which they may the rather fear, since the Jews were the natural branches, and they formerly strangers and aliens.
Rainbow Trout 