God draws us and enables us (John 6:44,65) so in that sense, I would say that faith is a gift, yet we still must exercise faith in Christ in order to be saved. Ultimately, salvation is the gift of God. Ephesians 2:8 (AMPC) - For it is by free grace (God’s unmerited favor) that you are saved (delivered from judgment and made partakers of Christ’s salvation) through [your] faith. And this [salvation] is not of yourselves [of your own doing, it came not through your own striving], but it is the gift of God.And this faith is a gift of God. It doesn’t resonate from fallen man.
Unless the Father draws us and enables us, we would NEVER come to Christ and place our faith in Him for salvation all by ourselves. The approach of the soul to Christ is initiated by the Father, but that doesn't mean He forces us to place our faith in Christ for salvation. We are not simply zapped with saving faith in Christ with no choice in the matter. We must choose to place our faith in Christ for salvation. Prior to my conversion, I clearly recall the Lord drawing me in and enabling me to believe, yet after that, I was at a crossroad and chose to believe in Christ for salvation. I was not forced to believe. I had a choice.