The "Stand Your Ground" law, immunizes you from criminal prosecution or civil suits if it is proven to be a good shoot.
As txradioguy says, no it doesn't.
But there is an added element to why the "Stand Your Ground" law doesn't apply to civil lawsuits. Before I even start with this, let me say I'm not a lawyer.
But I do have insurance and I have had some training in this area, applicable to my state (Arkansas) and where I once lived (Ohio).
First of all, the "Stand Your Ground" law, where applicable, applies to criminal law. You may be accosted by someone and threatened with deadly force and respond accordingly, killing or wounding the perp. The DA may conclude it's a clean shoot and that you were entirely within the law to defend yourself, meaning you won't be charged with a crime.
But that doesn't stop CIVIL lawsuits, where the burden of proof is much less pronounced, from being put on you. And those lawsuits can fine you tens of thousands of dollars, plus the legal fees. And if the civil lawsuit finds you culpable, you pay a lot of money to the perp's family that had the audacity to sue you to begin with. I was told in training in no uncertain terms that even in a clean shoot, you WILL be sued.
In our litigious society, that's what it comes down to and that's why I have insurance if I'm ever involved in a shooting incident.