No.
Our
BELIEVING is what we give to God in order for Him to be able to give us His Gift. He even gives us the gift of faith (the ability to know something is true) to then do the believing we must do in order to be justified and saved.
Don't confuse the gift of faith (the ability to know that what you can't see is true) with the believing and trusting you must do after you become convinced that the gospel you can't see is true.
If we stop believing and we refuse all of God's attempts to bring us back to faith he will turn us over to our unbelief and we will be forever lost and he will not change his mind about that even if you seek to come back with tears.
People who believe have faith. Faith is how they are able to believe and trust in God. That's the power that comes from the Holy Spirit that enables Christians to believe and trust in the gospel and be saved. No surprise here. People who believe have the gift of faith through which they believe. That's how they are able to believe and be saved.
Show us where God says he does not take back gifts.
Don't use Romans 11:29. That does not teach what you think it does. Paul is saying that even though the Israelites have rejected the gifts of God, that does not mean the Israelites as a nation have lost the promise of the gifts. Paul says him being a believing Israelite is proof of that. His ancestors rejected the gifts and the calling, but since God promised them to Israel he did not revoke the promise from all future Israelites from that point onward. Paul uses himself to prove it. There's nothing in that passage that says once you are saved you can not lose your salvation.
You don't realize it but you are actually the blind indoctrinated one. You can't even understand the argument you are resisting. Even when explained over and over to you people you literally have no capacity to understand anything outside of your own dogmatic assertions. That's the sure sign of being blinded in an indoctrination. As long as you keep seeing the argument as an argument for working to earn salvation you will be continuing to demonstrate the blindness of your indoctrination.
You and others have been unable to show how having to continue to believe in order to be saved is you trying to earn your own salvation as if believing in God's forgiveness (through the power of God's gift of faith) is a work of self righteousness.