This has been discussed at length elsewhere. The answer is "no" in a specific sense. However, certification numbers have increased over time. So the answer is "yes" in a more general sense. It is conceivable that collectors could determine roughly, perhaps the year or 6 month period, that a coin was graded. Coins being graded now in the United States are beginning with 41XXXXXX. Prior to that it was 40XXXXXX and 39XXXXXX. If you have a coin with 27XXXXXX, then it was likely graded before 30XXXXXX. I will sometimes see coins 40XXXXXX get returned from grading after coins that start with 41XXXXXX. I suspect the numbers are set when the submission is created in the system, and not necessarily when grading occurs.
I believe that coins graded in China have different numbers than ones graded in the United States.
German coins with 7 digits on PCGS holders XXXXXXX or 0XXXXXXX were graded in the 1990s, and are often in the old green label holders. If they have a leading 0, then that means they were originally graded in the 1990s and were later re-holdered or reconsidered in a more recent submission.This coin is 7 digit, but is one of the very earliest of the blue label holders. It was likely graded some time close to 2000. There are German coins with higher numbers that were graded earlier.
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Coins with 8 digit certification numbers that lead with 1 are in older blue holders.
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I could share more coins and holders. I believe that if a group of German coin collectors compiled a list of coins with known grading dates, they would be able to establish a rough correlation between certification number and grading date. For most people, being able to see the type of holder the coin is in is sufficient.
There were a lot of coins graded with the certification numbers 8XXXXXXX between 4-10 years ago. These numbers are out of sequence with what I've normally observed. Perhaps these were graded in the Paris or Hong Kong offices? I do not know.
I have found the certification numbers of United States coins to be much less consistent over time. Perhaps PCGS uses a different numbering scheme for these.