Yes, and I believe that God wills to show mercy to everyone, because he is love.
NOT, that everyone will be saved; but that as many people as possible get to hear the Gospel, and everyone who hears it, is given an opportunity to respond.
Jesus said that God is a loving, heavenly Father, Luke 11:11-13, and that he is perfect, Matthew 5:48.
John says that God IS love, 1 John 4:8.
What father would say of his children; "I made you, you died before you could know me, so I'm condemning you for not knowing me - even though it wasn't your choice not to know me"? We wouldn't give such a man "Father of the year"; we'd most likely report them for abuse/neglect. Why think that of God?
No one goes to Hell for not knowing God. I never claimed that. They go to Hell for their sins against Him and He grants them justice. It is only by God's grace, mercy and sovereign election that anyone at all is saved. And not because they are given the opportunity, it is because God's grace is effectual and sufficient and completes what He sets His grace to do.
Yes, God is love, but that is not His only attribute. He has a righteous and holy wrath against sin and sinners.
Psalms 5:5 The boastful shall not stand before your eyes; you hate all evildoers.
Psalms 7:11 God judges the righteous, and God is angry with the wicked every day.
And since everyone is born in Adam by nature, they are all born into sin. Does not mean that they are as evil as they can be, but no one is righteous before God, in and of themselves.
Romans 3:10-12 as it is written: “None is righteous, no, not one; (11) no one understands; no one seeks for God. (12) All have turned aside; together they have become worthless; no one does good, not even one.”
Romans 3:23 for all have sinned and fall short of the glory of God,
No age limit there. Nothing about knowing God or not knowing Him. Moreover:
Romans 1:18-20 For the wrath of God is revealed from heaven against all ungodliness and unrighteousness of men, who by their unrighteousness suppress the truth. (19) For what can be known about God is plain to them, because God has shown it to them. (20) For his invisible attributes, namely, his eternal power and divine nature, have been clearly perceived, ever since the creation of the world, in the things that have been made. So they are without excuse.
Romans 5:12-17 Therefore, just as sin came into the world through one man, and death through sin, and so death spread to all men because all sinned— (13) for sin indeed was in the world before the law was given, but sin is not counted where there is no law. (14) Yet death reigned from Adam to Moses, even over those whose sinning was not like the transgression of Adam, who was a type of the one who was to come. (15) But the free gift is not like the trespass. For if many died through one man's trespass, much more have the grace of God and the free gift by the grace of that one man Jesus Christ abounded for many. (16) And the free gift is not like the result of that one man's sin. For the judgment following one trespass brought condemnation, but the free gift following many trespasses brought justification. (17) For if, because of one man's trespass, death reigned through that one man, much more will those who receive the abundance of grace and the free gift of righteousness reign in life through the one man Jesus Christ.