the murrah fed building was brought down in controlled demo and yes, largely fell into it's own footprint
my source?
http://www.jimloy.com/physics/gravity.htm
There are also three general types of collapse that occur under fire conditions like in WTC 1, 2, and 7:
Tent, Pancake, and lean-to types. Buildings under fire conditions don't really fall completely to one side or another when they collapse. The parts that may extend out past the footprint tend to be things blown out by the force of collapse, curtain walls, etc.
It can happen during fire, sure. However a building is more likely to collapse completely outside of the footprint if the foundation is severely damaged by an earthquake or similar event that impacts it low and on one side.