Only if there was zero CO2 in the headspace to start with. But if you purge the headspace correctly then you have at least 14.7 psia in the headspace. Then any gauge pressure over 0 provides even more CO2. The standard advice when naturally carbing a keg is to purge, and then pressurize to make sure the lid is sealed. At that point you're better off setting the starting headspace pressure at a level that will cancel out the effect of the headspace.
Switching gears: If we want to correct for the difference in required headspace pressure between room temp (70˚F or 21.1˚C -- carbonation temp) and serving temp (say 40˚F or 4.5˚C) then the correction factor is (273.15 + 21.1) / (273.15 + 4.5) = 1.06. The correction has to be applied to the headspace absolute pressure, rather than gauge pressure, so we get:
RT Headspace PSIG = 1.06 * (Chart Pressure + 14.7) - 14.7 = 1.06 * Chart Pressure + 0.88 psi
If you are at high elevation, then you want to use the first form of the equation, and replace 14.7 with your local atmospheric pressure.
Brew on