Driving LVDS with 2 independent channels

No, as a matter of fact NVIDIA’s TK1 implementation of LVDS is single channel only. Please have a look at their design guide for reference.

If you do require dual channel LVDS you would need to do your own custom carrier board using e.g. a NXP PTN3460 or Parade Technologies PS8625 eDP to LVDS bridge chip. However I doubt even those would support such an exotic left/right mode as it would require buffering a full frame. May I ask what exact display you are planning to use which requires this?