Yes. If you apply more steam at an equal or higher temperature and pressure, you will heat your objects faster, since there should be more heat from the increased steam flow being delivered to your objects. Of course it will take more time to heat the greater quantity of steam, so it might be a bit of a trade off.
Raising an object's temperature depends on the material's "heat capacity" property, which is a measure of how much heat Btu or Calories are required to raise the temperature of a material of an object by 1 degree. If using English System, the units for heat capacity of a material will be Btu/Pound/ºF.
A typical steel has a heat capacity of 26 Btu/lb-F.
Therefore, if you have 10 lbs of steel, It will take 26 x 10 x 1ºF = 260 Btu to heat the 10 lbs of steel by 1 ºF, or 26 x 10 x 100 = 26,000 Btu to heat the objects by 100 ºF
Heating objects also depends on a few other factors, such as how the heat is actually transferred to the object, ie, by convection, conduction or radiation, ie, immersing in hot water, contact with another hot surface, or by blowing hot air on it, or by sitting it in the sun, etc. or a combination of all three, as well as the amount of surface area exposed or available that the applied heat can actually cross the material interfaces and be absorbed or transferred to your objects, but all of that involves quite a bit of more complex calculations. The above method will give you an approximate solution. If you need a more detailed solution, you will have to grab a good thermodynamics textbook... or a consultant.
Going the Big Inch!