No, since guns result in injury or death, when it is used negligently, misused, or used by someone other than the original purchaser, it is not fair to everyone else that we pay for that.
You should pay for costs caused by your gun. Period.
Negligence is already covered in the criminal codes of all 50 states.
Misuse is either just a synonym for negligence (in which case, see above) or a caustic term you are substituting for accident. Accidents happen yet accidents ought not be punishable (whether regarding cars, guns, animals, etc.). Paying for the result of an accident is punishment; being on the receiving end of an accident is life.
As for things that happen because others use the gun, in cases in which prices ought to be paid, why isn't the user (the other) the one paying this price?
Not all bad things that happen to occur must be "made good". Anyone who thinks such things is an an imbecile.
If I somehow possessed the acumen to cure cancer, yet was unaware of my own potential, and chose a career as a moronic litigator instead of a medical researcher, you're line of BS reasoning would make it the case that I would owe reparations to all cancer victims and their families. After all, I ought to have had assumed that I might have the potential to cure cancer, and whether or not that actually happened, I ought to have pursued all outlets to do so.
Instead, I chose not to, and, yes, that comes at a risk to myself (I could end up with cancer) and others. Yet, I don't owe a dammed penny to those that end up with cancer, unless I was aware of my acumen, aware of the solution, and I suppressed the solution.
Persons ought not be held responsible for accidents. Accidents are beyond their control. Negligence, correctly understood (not as enunciated by some litigators and politicians), is blameworthy because it involves awareness.
A gunowner can and should think that by taking proper precautions, unintended harm will not occur.