Neil: The answer to your question is "no".
Seriously, the stoker world is currently arranged around four tickets:
Cert 1 (Auxiliary Machinery Operator, our mechanic level)
Cert 2 (Console Operator, or in the case of a steam driven ship, Boiler Room I/C, our technician level)
Cert 3 (Engineering Officer of the Watch, Artificer)
Cert 4 (Chief Engine Room Artificer)
The first three tickets are class specific, with a letter denoting the class ship. An "A" means a steam qualification. The tankers require a steam ticket, which used to be attainable also on the old steam driven destroyers. Thus, my old Cert 2A which I got on HMCS Mackenzie would still be valid on one of our tankers but require some re-qual but not a full ticket. However, my Cert 3E (for gas turbine/diesel) would not. The bulk of the tickets being produced in the fleet would be "E" tickets I imagine as the frigates are the most numerous vessel type.
The Cert 4 is not class specific and once achieved allows one to be the Chief ERA on any class of vessel.
And I'm not too sure how the subs do things, that's a D ticket I think, as well as the requirement for the dolphin.
Since the tankers are the only steam platforms we're sailing, they are the only ones turning out current "A" tickets. Steam isn't bad, it's pretty efficient and reliable, but its power to weight ratio is poor compared to the other propulsion plants out there. I certainly don't miss making feed water either.