Non Residents of Wyoming must have a Valid Permit License to Carry that Wyoming honors to carry a concealed handgun in a vehicle. Anyone who can legally own a firearm can carry a loaded handgun anywhere inside a vehicle as long as it is not concealed on your person and is visible. Wyoming law only covers the concealed carry of a defensive firearm in a vehicle.
Wyoming Residents who can legally own a firearm can carry it concealed on their person in a vehicle without any type of permit/license. Wyoming Residents who can legally own a firearm can carry it concealed on their person anywhere that someone who has been issued a permit/license to carry in Wyoming can carry. This is the Permitless Carry Law passed recently but this law only applies to residents of Wyoming.