No, we are saved by His grace.
So then faith [cometh] by hearing, and hearing by the word of God. (Romans 10:17)
Our faith comes from hearing the Word of God and believing it to be true.
"and believing it to be true."
You cannot believe it's true until faith comes.
Which leads us right back to the beginning.
Since the word of God is everywhere, why do some men hear correctly and some don't? Are some men more righteous, holy, stronger, more pragmatic, clever, pious, richer?
No. Like Lazarus, all men are equally fallen sinners, stone cold dead in sin and trespass. That's WHY we need a Redeemer in the first place.
Why do some hear and some not? Because God gives some the ears to hear Him with and some not.