No. It isn't a question of computer hardware specs. Its about your recording software/DAW.
Most recording software/DAW can only use 1 audio recording device at one time.
You can however have multiple and different devices installed and connected to 1 computer. But again, most recording audio software will use only 1 device at 1 time.
If you need more channels with your setup, you will now need to consider a different recording interface that has as many channels as you may need. There are many different audio recording interfaces that can suite many different setups and rigs.