The short answer is "yes". About half of the Luftwaffe's Kampfflieger and Sturzkampfflieger force was trained to attack enemy shipping by the summer of 1940. But only two Geschwader were trained in aerial torpedo operations by then: KG 26 and KG 30.
If you are really interested, see:
Hooton, E.R. Phoenix Triumphant: The Rise and Rise of the Luftwaffe (London, 1994).
Hooton, E.R. Eagle in Flames: The Fall of the Luftwaffe (London: Brockhampton Press, 1997).
Kurowski, Franz, Seekrieg aus der Luft: Die deutsche Seeluftwaffe im Zweiten Weltkrieg (Herford, 1979).
Mason, Francis K.. Battle Over Britain (London, 1969).
Ramsey, Winston G. (ed.). The Blitz, Then And Now, 3 volumes London, 1988-90).