Hondata

The 06 Civic employs a mass air flow sensor that automatically adjusts the air-fuel ratio for increases in air flow from intakes and race headers.

Is is possible to use this MAF sensor with a 05 Type-S to run a Race Header and Reflash without running lean?

The MAF will only work with an ECU designed to use it, so no, you can't add a MAF to an 05 or earlier ECU.