probably, but this is NOT the recommended way to start to learn how to digital DJ.
Firstly, you will never get a decent response time from the pairing of the soundcards. Even one of those $1.00 USB soundcards on eBay will work, just not very well - but as well as the 202/222.
Secondly, how are you going to control Traktor ? You are still going to need some kind of controller, or you will have to get to learn the keyboard shortcuts extremely well.
You would have been better of getting something like this instead of the 303. My mate still uses one, and it performs as well as my S4, he swears by it.
http://www.ebay.com/itm/Hercules-DJ-...item2eb9a0a63e
Good luck
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