For headspace it is much more tricky. If you know the partion behaviour of the analyte at the temperatures and pressures of the headspace equilibrium you can calculate the quantity per unit volume of the headspace. Typically the sampler would then dilute that with a pressurization gas, bleed the excess pressure through a loop at a higher temperature than the sample, and then transfer the loop contents through an even hotter transfer line to an even hotter inlet where it will mix by diffusion (and possibly a bit of turbulence) with the carrier gas on its way to the column.
This is a long enough chain. with enough uncertainty in enough of its steps to render the calculation pointless.
With syringe-based headspace it is a bit simpler, but you still have to know the partition behaviour and the composition of the sample. And if you know the composition of the sample, why are you doing an analysis at all ?
Peter