It really depends on the type of driving shoe you are referring to. For a lot of people a "driving shoe" is the classic driving moccasin. These can of course be worn with socks, but they are more often a Summer shoe worn with shorts or chinos, in which case we would suggest you leave the socks at home. For other driving shoes including driving boots, FIA Approved racing boots and casual driving trainers we would recommend wearing socks for increased comfort and a better overall look.