Sure......but no one will, unless God enables them.
Psalm.14:2 The Lord looked down from heaven upon the children of men, to see if there were any that did understand, and seek God.
3 They are all gone aside, they are all together become filthy: there is none that doeth good, no, not one.
Jesus Christ is the enabler, for "What is impossible with man is possible with God" Luke 18:27, but Jesus doesn't force people into his kingdom. For over and again, he portrays it as an invitation, an invitation that many refuse, per Luke 14:18 etc. You however wrongly pretend the invitation was never made to vast numbers of people. Over and again, Jesus refutes you, e.g. Matt 22:14 etc. Why then does God not enable some to come to God? Just because of their insatiable preference for evil: "the people loved darkness instead of light because their deeds were evil." John 3:19.
"Loving darkness" in the sense of a
preference for working iniquity is the one sin that will cause God to prohibit access to the kingdom of God.
I take it that Ps 14 is referring to two different types of people, the apostates, the workers of inquity, and the lost sheep, whose love has grown cold and who have turned away under the influence of the workers of inquity, but who are still regarded as God's people.
It is imperative to properly distinguish the lost sheep from the sheep not of Christ's fold (habitual workers of iniquity) in order to grasp biblical teaching in context.