Nope. I'm left handed, and writing longhand hurts my hand after a while, more so if I try and make it legible.
I broke my thumb (right hand) once and had to do with my left hand for three months and noticed myself how stupid writing with the left hand is - not because I'm right-handed but because the written language is not designed for it. Honestly, I now understand why it was not unusual to tell lefties to write with their right hand.