What, no! Wizards learn stuff from books. Turning general magic ability into a specific set of skills. I've always had fire, and I hone it through practice and intuition.

*From world after world of magic users, the distinctions between wizards, shamans, and artificers are specifc and not to be trifled with.*

Something like that. They taught me to make my fire bigger, and to keep it from destroying things that didn't need destroying.