No. That's backwards.
No one can hear and believe the Gospel without being Given the Spirit of God in New Birth!
The Hearing of Faith is only for the regenerate, those who have been born again Gal. 5:22.
That is not what the Bible teaches.
Nothing happens until one hears the Gospel. On the day of Pentecost 8,000 Jews heard Peter's Gospel and were born again. Some who had participated in the crucifixion of Christ, Acts chapter 2.