The answer is resoundingly NO. Oxygen is NOT a fuel. Flames, fire and all related chemical reactions are a result of a FUEL being OXIDIZED, or being combined with oxygen. The application of oxygen to a burning fuel will cause the fire to burn much more vigorously, as well as hotter.
Oxygen, by itself, WILL NOT BURN. If it did, our atmosphere (which is 20.9% oxygen) would have burned up a long time ago.
Oxygen is mixed with a number of different fuel sources to get a faster, hotter burn. Acetylene, used in metal cutting torches, is mixed with oxygen to get a super hot flame that will quickly cut through metal.
NASA uses oxygen to burn hydrogen fuel, not only to get a fast burn required in a rocket engine, but also because surrounding oxygen in the atmosphere becomes much more scarce as you leave the atmosphere for space.