If we're talking "audio" (not MIDI) , and if you are using the Fantom-G as your USB Audio Interface, then the answer is, unfortunately, "no". The Fantom-G's "built-in" audio interface only provides two channels of discrete input to your PC DAW... Input 1 (L) and Input 2 (R). I suspect that this may just be a function of the driver (but, perhaps it is also a hardware limitation). The two channels of input are equivalent to the analog Outputs 1 & 2 (a/k/a the "Mix" Output A).
If you use an external audio interface that has at least 4 inputs and 4 discrete outputs, then the answer is "yes". You could have the four Fantom-G outputs 1 to 4 plugged in to your external interface, and discretely select the corresponding 4 inputs in your PC DAW.
Side note #1:
There is a System Setting in the Fantom-G that allows you to change "Mix/Parallel".
If set to Mix, sounds which are individually set in their Output Assign to the Output 3 jack are output from the left "Mix" Output A jack (a/k/a Output 1). Sounds which are individually set in their Output Assign to the Output 4 jack are output from the right "Mix" Output A jack (a/k/a Output 2).
If set to Parallel, the output from Outputs 1 through 4 is based on the individual Output Assign settings. Remember, that as a USB audio interface, the Fantom-G only sends the two channels equivalent to Outputs 1 & 2 (a/k/a the "Mix" Output A).
Side note #2:
Apologies if you already knew this... but, wIth or without an external audio interface, you can assign different Fantom-G "patches" to different MIDI tracks in your PC DAW. For example you could have multiple MIDI tracks in your PC DAW, each with their own instrument patch defined, "triggering" the Fantom G's sound engine to playback each MIDI track using its assigned patch.
Using the Fantom's USB connection to your PC DAW, all sounds ultimately "output assigned" in the Fantom-G to the "Mix" Output A will be streamed back to your PC DAW via the Input 1 (L) and Input 2 (R).