Yes you can!
C2 handles this scenario seamlessly and it will Autotrade each strategy separately so that each system can be tracked from the Open Positions page on C2.
Let's take an example of two strategies trading the same instrument.
Strategy 1 buys 100 MSFT
Strategy 2 sells 100 MSFT
Your brokerage account will show the net position for the instrument: flat MSFT.
Now if Strategy 1 buys 100 MSFT more, that strategy will be long 200.
Strategy 2 is still short 100.
Your brokerage account will show a net position of long 100 MSFT.