Unfortunately not
![Frown](//cdn-eso.mmoui.com/images/style_esoui/smilies/frown.gif)
They added head bobbing with 1.4 and it was awesome, but they removed it again shortly after for some unknown reason.
But I guess it will be added again in the future.
I also wish they would add the own characters shadow to FP mode. Currently you don't see your own shadow in first person which is really sad.