Cambridge Soundworks has made more than one set of 2.1 computer speakers. Which do you have? What is the model? What model of Teac speakers are they (though this is probably less important)?
Basically, if the power output of the amplifier is enough to drive the speakers, and if the impedance of the speakers is not a problem for the amplifier, you can do it. However, it is possible that Cambridge Soundworks has applied some equalization to the amplifier to get the speakers to sound better, which, if so, would almost certainly not sound good with your Teac speakers.
A small separate amplifier could be used to drive the Teac speakers, which would easily avoid any such potential problem. Of course, it is also dependent upon you either already having an amplifier, or buying one.
Now, if you want me to guess about your original question, most likely, you can do it. How it will sound is another matter, but you can probably do it.
