Short answer - yes. In LEAP, you build a flexible tree data structure that can have as much technology detail as you like. Each technology is associated with an energy carrier (fuels, electricity or heat), which in turn can be associated with emission factors for any pollutant: GHGs or other pollutants.
LEAP only considers operational phase emissions (normally from fuel combustion). It does not consiser construction phase emissions during the building of an energy technology. In other words, it is not a life cycle assessment tool. However, it is an integrated model, so it doesn’t consider energy use and emissions across all sectors of an economy. It does also some capabilities to consider non-energy sector emissions from sectors such as industrial processes, land use change, forestry, solid waste, etc.