I think the first digit of the block # tells you what year, from when the engine was first available. For example B18C1 with first digit 2 is a 1995 (B18C1 was first available in 1994).

I'm not sure how you would go about finding the actual history. Somehow Honda must have records of which car (VIN) it was originally installed in, but I don't know whether they'll look up that stuff for you.