Can you give any single one (biblical) scripture in support for this your belief?
There are lots of scriptures that deal with choosing God and free agency. Joshua 24:15, Psalms 119:30, 179; Job 34:4. Do I have a specific verse off the top of my head that claims this verbatim? No, admittedly. But I can't think of any that say otherwise, either. Plus, if my statement is not correct, then that would imply that God chooses who he will save and who he will grant faith to. I think that would undermine the principle of agency and the admonition that we should choose to follow Christ.
It has been said in this thread that faith comes by hearing the word of the Lord. What happens when we hear the word of the Lord for the first time? Usually, it is attested to by the Holy Spirit and we have one of two choices. We can either accept the message, or reject it. God might open our hearts to the message or give us a stroke of inspiration testifying of its truth, but we still have to make that choice. God doesn't make it for us. He will not force us to serve him.
Do you disagree?