Yes, the Lord calls unto Himself those who repent and believe.
Where does even repentance come from?
Acts 11: NASB
17“Therefore if God gave to them the same gift as
He gave to us also after believing in the Lord Jesus Christ, who was I that I could stand in God’s way?”
18When they heard this, they quieted down and glorified God, saying, “Well then, God has granted to the Gentiles also the repentance that leads to life.”
2 Timothy 2: NASB
24The Lord’s bond-servant must not be quarrelsome, but be kind to all, able to teach, patient when wronged,
25with gentleness correcting those who are in opposition,
if perhaps God may grant them repentance leading to the knowledge of the truth, 26and they may come to their senses
and escape from the snare of the devil, having been held captive by him to do his will.
But how does He call them? Does He call them through the gospel being preached, directed to everyone, and chooses those who believe?
Many are called (the Gospel) few are chosen (born again) ref. John 3:8
Or does He already have a selected few He chooses to hear the gospel?
The Gospel is to be proclaimed to all nations beginning in Jerusalem (Luke 24:47)
Do we all have the ears to hear and the eyes that see? (Matthew 13:10-23)
What does the NT say about how God chooses? The evidence is according to His will and purpose. For example:
Ephesians 1: NASB
1Paul, an apostle of Christ Jesus by the will of God,
To the saints who are at Ephesus and
who are faithful in Christ Jesus:
2Grace to you and peace from God our Father and the Lord Jesus Christ.
3Blessed
be the God and Father of our Lord Jesus Christ, who has blessed us with every spiritual blessing in the heavenly
places in Christ,
4just as He chose us in Him before the foundation of the world, that we would be holy and blameless before Him. In love
5He predestined us to adoption as sons through Jesus Christ to Himself, according to the kind intention of His will,6to the praise of the glory of His grace, which He freely bestowed on us in the Beloved. 7In Him we have redemption through His blood, the forgiveness of our trespasses, according to the riches of His grace
8which He lavished on us. In all wisdom and insight
9He made known to us the mystery of His will, according to His kind intention which He purposed in Him 10with a view to an administration suitable to the fullness of the times,
that is, the summing up of all things in Christ, things in the heavens and things on the earth. In Him
11also we have obtained an inheritance, having been predestined according to His purpose who works all things after the counsel of His will, 12to the end that we who were the first to hope in Christ would be to the praise of His glory.
13In Him, you also,
after listening to the message of truth, the gospel of your salvation—having also believed, you were sealed in Him with the Holy Spirit of promise, 14who is given as a pledge of our inheritance, with a view to the redemption of God’s own possession,
to the praise of His glory.
I believe when examine the God of Holy Scriptures for how He revealed Himself to us, we need to in all reverence “Let God be God” as discussed here:
“Let God be God”
If we don’t then we could be creating a God that appeases our human sensibilities.