Does God give us our names?
Depends on which name you are referring to. If you mean the designations like Christian, disciple, or child of God, then, yes, those come from God. If you mean your birth name then, no, that was the name your parents picked out for you. There are times in the past when God selected names for people or changed their names because He had a message He wanted to convey. But these were rare events and is not the way God deals with people today.