Yes. 28 ga. wire has about 66 ohms of resistance per thousand feet, so a 10 foot long wire pair would have a total resistance of approx. 1.3 ohms. At 200 mA that's a voltage drop of about 1/4 volt. Not great, but the camera should be able to run on that. If you have an extra pair and can run two in parallel, that would be better.
ak