Yes. You can either get emission factors from TED or enter your own.
This is separate from the question of CO2e v CO2. LEAP can show emission results either in physical units (e.g. tonnes of CO2, CH4, N2O, PM2.5, etc) or you can show the overall global warming potential across gases (CO2e). The
General: Effects screen is where you can review the GWP values for each pollutant. You can choose different sets of GWP values corresponding to the IPCC's 2nd, 3rd, 4th and 5th assessment reports. There's a button on the effects screen to choose among these.