Can icbc go back to 2006 to make you do a responsible driver program? What is statute of limitations?

You will probably have to re-phrase the qestion, telling us where you are and what ICBC is, before we will be able to help you.

Yep, ICBC is one of the larger banks here in China and owns shares in some American banks.

I assume that is not the same company.

Taking some sort of wild, guess.

You were ordered by a court, to do a drivers program, and never did.
Now they want you to do it?

SOL is only about being charged with a crime, once changed, SOL has nothing to so with it. (also SOL for owing debts)

As noted, you will need to explain this in more detail

My guess would be "Something beginning with an "I", Something beginning with a "C", British Columbia", but that's only a wild guess. :)

Ah!, I was right: http://en.wikipedia.org/wiki/Insurance_Corporation_of_British_Columbia

It looks like the powers of the ICBC are found here (http://www.bclaws.ca/civix/document/id/complete/statreg/96228_01#section9). So the answer to OP's question would be "probably yes".