The danger from leaded fuels don't come from handling, but from the exhaust. The lead becomes breathable and enters the environment, exposing those who lived in urban areas and near roads to more lead than others.
The other poster isn't wrong about airplane fuel being leaded, but that can be misleading because most people don't know that "airplane fuel" and "jet fuel" are different. Jet fuel is not leaded, but the fuel used by small, piston-driven prop engines is.