Only if you buy an external multichannel USB audio interface. However you can, of course, record two separate mono channels just with the basic normal stereo sound card. There are various restrictions on using multiple separate audio devices in, I presume, Windows. Firstly all digital audio channel need to have synchronised sample rates. This isn't possible with separate stereo audio interfaces, except some very special expensive ones that will allow you to synchronise separate hardware together. Secondly ASIO audio drivers, which Audition prefers since they completely bypass the operating system, only allow one device to be used at any one time for both input and output. This is built into the driver specification.
How many channels do you want to record at one time. And will they be microphones or just line level inputs. Four inputs USB interfaces needn't be terribly expensive.