No, you cannot sue for IIED, or intentional infliction of emotional harm, for "unintentionally shooting a bullet through" a home; the other party would lack the required intent to be liable for intentional infliction of emotional harm.Any property damage/repair costs can be sued for: anyone who negligently or carelessly damages property is liable for the damage he does.If shooting in this area (a half mile of their home) is inappropriate given the character, density, use, etc. of the neighborhood (e.g. shooting in most suburban areas other than at a properly constructed and licensed gun range would be inappropriate), your brother and his wife can bring a suit for "nuisance" and seek in that matter an injunction to bar reptition of this incident.And if shooting or having a gun range there violates any local ordinances, your brother can also complain to the appropriate agency to have fines or summons issued.