Designing 2D materials that exhibit half-metallic properties is crucially important in spintronic devices that are used in low-power high-density logic circuits. The large pores in the C2N morphology can stably accommodate various configurations of transition-metal atoms that can lead to ferromagnetic and anti-ferromagnetic coupling interactions amongst them, thus paving the way for achieving half-metallic characteristics. In the present study, we use manganese “Mn” as a promising catalyst and the spin-polarized density-functional theory (DFT) to search for suitable configurations of metal atoms that yield half-metallicity. Test samples comprised of single-atom catalyst (SAC) and double-atom catalyst (DAC) of Mn embedded in a C2N sample of size 2x2 primitive cells (PCs) as well as their combinations in neighboring large pores (i.e., SAC-SAC, SAC-DAC, and DAC-DAC). Tests were extended to screen many other TM catalysts and the results showed the existence of half metallicity in just five cases: (i) C2N:Mn (DAC, SAC-SAC, and SAC-DAC); (ii) C2N:Fe (DAC); and (iii) C2N:Ni (SAC-DAC). Our results further showed the origins of half-metallicity to be attributed to ferromagnetic coupling (FMC) interactions between the catalysts with the 6 mirror images, formed by the periodic-boundary conditions. The FMC interaction is found to have a strength of about 20 meV and a critical length scale up to about ~ 21-29 Å, dependent on both the type of magnetic impurity and the synergetic effects. The potential relevance of half-metallicity to spintronic device application is discussed. Our theoretical results have been benchmarked to the available data in the literature and they were found to be in good agreement.