Naw, I wouldn't try to knit backwards. Just keep knitting like almost EVERYONE does, that is, turn your work and knit the other side!
Besides, when you are working a chart or any other pattern with directions on the other side, you really need to be 'on the same page' as the pattern writer is! It is confusing enough to follow pattern directions step-by-step...let alone if you are knitting backwards on every other row!
Happy knitting, Sister!