Not easily. Netflix hasn't integrated the Sonos API in the same fashion that the Pandora folks have.
You'd need to get a Sonos device with a line-in, and connect it to your PC's headphone jack.....and then deal with the fact that an analog line-in on a Sonos device incurs a minimum of a 70ms delay before it plays on your speakers.
Devices that have an analog line in are: PLAY:5, CONNECT, CONNECT:AMP, Sonos Amp.
Or, if your PC has an optical or HDMI output that can push a stereo signal, or a Dolby Digital 5.1 signal, you could get a Sonos device with a digital input, and not have to pay that 70ms delay.
Devices that have a digital input are the PLAYBAR and PLAYBASE, which both have optical inputs, and the Beam, which has an HDMI-ARC input, along with an HDMI-ARC to Optical adapter.
Bruce