Hi Dave
I’m a ‘lefty’ too!
Shooting 10m with a Morini 162EI with factory left hand grip.
No problem using cocking lever with right hand (lever is mounted on left side).
One thing to be aware of is that the Morini 162ei has a left hand or right hand electronic trigger assembly in the grip so if you bought a right hand pistol you would need both a left hand grip and a left hand trigger unit which gets costly.