No, I'm right handed. However, a minority of my practice is with the left, and it still shoots low and right with the iron sights no matter which hand I pull the trigger with.
..and what ammo(bullet weight) are you using?
AT the range I use Federal 95 Grain Range and target. I also fired some with my 95 grain Speer Gold Dot.... both are always way low right with the iron sights.
It's not the ammo and it's not me. All my other guns shoot where I point the iron sites including a double action revolver with a stiffer trigger pull than this LCP. This LCP will now shoot a ragged hole at the same place I point the CT every time. The iron sites are simply off significantly.