For just a couple of weeks, barring any current health issues, you could probably do a water-only fast and not do any damage. It's not the preferred way, but humans are pretty much built to handle short periods of deprivation. Lowering fat for a couple of weeks isn't going to hurt. Also, if you eat plenty of lean meat, you'll be getting more fat than you realize - just not as much as when you consciously add fat.
"Right is right, even if no one is doing it; wrong is wrong, even if everyone is doing it." - St. Augustine