Is there an way water can burn or cause fire? Water known as the fire extinguisher.What is the possibility watere being the fuel to fire.
"Pure water"
 A: 
What is the possibility water being the fuel to fire. 
  "Pure water"

Especially your emphatic addition of "Pure water" allows to answer this question in the narrow sense of the question as: 'No'.
In order for a substance to be the fuel to a fire it has to contain something that is reducible, i.e. capable of lowering its Oxidation Number. Such a substance is known as an oxidiser. Molecular oxygen ($\mathrm{O_2}$) is an archetypical oxidiser because its elemental oxidation number of $0$ can be lowered in chemical reactions.
But in water, oxygen is already at its lowest quantum mechanically allowed oxidation number, specifically $-2$. It cannot be lowered any further.
Water can contribute to a fire through other reactions like the reaction of water with reactive metals (like alkali metals, magnesium and others), which generates flammable hydrogen ($\mathrm{H_2}$) but that's not really the water itself contributing to the fire but the rather hydrogen catching fire.
Water itself can certainly not burn.
A: Yes, if a water fire extinguisher is used inappropriately, on (say) something like a Magnesium fire. The Magnesium extracts the Oxygen from the water and the Hydrogen then burns. This is in addition to what is effectively a steam explosion from the heat alone spreading the burning metal. Such a fire is a danger when machining Magnesium or similar metals and alloys in air.
Another, bigger Mg fire plus water
A: Pure water is not flammable. It can be added to other materials (e.g. cesium, sodium, etc.) to produce flame, however.
In the comments you seem to reject that option because it is not "pure water" but water reacting with something. I'd like to point out that all flammability results from reactions. Pure oxygen is not flammable either, for example, it has to react with something to flame up and burn. Flame is a chemical reaction byproduct and that is unavoidable.
