Absolutely false. God's grace has appeared to all men. Jesus is drawing all men to himself. Just because we are the beneficiaries of God's grace in no way means that we will follow God's will.
Titus 2:11
For the grace of God that bringeth salvation hath appeared to all men,
1 Timothy 2:4
who desires all men to be saved and to come to the knowledge of the truth.
1 John 2:2
He is the atoning sacrifice for our sins, and not only for ours but also for the sins of the whole world.
1 Tim 4:10
That is why we labor and strive, because we have put our hope in the living God, who is the Savior of all people, and especially of those who believe.
Acts 17:30
Although God overlooked the ignorance of earlier times, He now commands all men everywhere to repent.
Heb 6
4It is impossible for those who have once been enlightened, who have tasted the heavenly gift, who have shared in the Holy Spirit,
5who have tasted the goodness of the word of God and the powers of the coming age
6and who have fallen
c away, to be brought back to repentance. To their loss they are crucifying the Son of God all over again and subjecting him to public disgrace.
7Land that drinks in the rain often falling on it and that produces a crop useful to those for whom it is farmed receives the blessing of God.
8But land that produces thorns and thistles is worthless and is in danger of being cursed. In the end it will be burned.