Is it considered usury for a man to buy a car from another and take possession of it, then pay its price after a period, knowing that the noble Hadith states "hand to hand" when the types [of commodities] differ?

Usury (riba) is specific to the categories mentioned in the Hadith and what shares the same underlying cause with them. Cars are not among these categories because they are not edible, measurable by volume, or weighable, nor do they fall under the category of currencies. Imam Al-Bukhari dedicated a chapter to the permissibility of selling slaves and animals for animals on credit. Therefore, neither riba al-fadl (usury of surplus) nor riba al-nasī'ah (usury of delay) applies to cars, and selling them on credit is permissible. Furthermore, for any usurious item—other than the two currencies (gold and silver)—if sold for one of the two currencies or what takes their place, then credit is permissible, and immediate possession is not a condition.