Is Rocket Grade Hydrogen Peroxide and Liquid Hydrogen a hypergolic propellant combination? I recall, seeing the combination somewhere on the www, however I couldn't retrace the source where I saw it.
I'm going to say yes, depending on how loose you want to be with definitions. Hydrogen peroxide as rocket fuel is decomposed by passing it through a metal catalyst screen, producing water, oxygen, and heat. At 90% concentration the temperature is around 800C (see figure 2). The autoignition temperature for kerosene is 210C. It worked for the Bristol Siddeley Gamma engines used in Britain's Black Arrow, and which used 85%. So it's not that hydrogen peroxide and kerosene will spontaneously ignite, but that the decomposition temperature of hydrogen peroxide is high enough to ignite the kerosene. On the other hand, you just put a catalyst on the injector, it's not like you have to shoot a pyrophoric slug into the combustion chamber.
Edit: I said kerosene. I don't know why I said kerosene. Actually, I know why -- because I didn't read the question carefully. But the answer doesn't really change.
As far as I know the answer is no.
The autoignition temperature of Hydrogen is 536 °C according to Wikipedia.
Although this temperature could vary with pressure, I am also unaware of LOX/LH2 being hypergolic, hence adding water to the mixture (you asked about hydrogen peroxide) should not make things that much easier.