Yes, certainly, for a time anyway, I suppose (we have free will after all). In the end, I believe that His drawing of those of us who will be His own, because of the kindness that He shows us (those who He has given new hearts and new spirits to .. Ezekiel 36:26-27), is irresistible, such that all who are given the gift of saving faith will exercise that faith and believe.
I was 30 before I finally believed/trusted God and surrendered the reins of my life to Him, even though I was raised in the church from infancy and always believed that I was a Christian (though I was not). Fortunately, for those like me (IOW, for His children who are especially thick-headed), the Lord is not slack concerning His promise, as some count slackness, but is longsuffering towards us, not willing that any [of His elect] should perish, but that all should come to repentance .. 2 Peter 3:9.
--David