My 4+ year old (current vintage) D1 rotary Junior has a clearly recognizable date on the undertray label, however the label on my 1995 vintage vibe machine is dateless (like yours).
I'm sure that there is a way to tell from the information on that label the date of manufacture, however I am unfortunately not able to do so. It is possible that your local Cimbali dealer, Bravo Coffee in New Westminster (with whom I am very well acquainted; they are great people) could give you specific information.
If you could post a picture of the machine, especially a frontal view, I'd be happy to hazard a guess. There have been changes in the appearance of the machines, such things as presence or absence of a sight glass, shape of the plastic steaming and boiler draining knobs --- that might give me some idea as to the vintage.
ken
ADDENDUM: My older (vibe) machine was manufactured in 1995; I know this because it was a special order item (in brass) and after waiting several months after the order was placed, I received it towards the end of 1995. The number given on the label (similar to the one you showed) is 402872. Here's an old picture of this machine, taken before I did any of its modifications:

The newer machine, a current design D1 rotary machine, has a different label with a UL marking on it. The date of manufacture is clearly stated as 11-2002. Also on this label is given the "Fabrication Number," which is 529224. There is a difference of 126,352 in these two numbers. I sincerely doubt that Cimbali produced 126 thousand Junior espresso machines in that 7 year period, so most probably that reflects at least the production of all espresso machines and perhaps also such things as grinders.
There is a difference of almost 35 thousand between the number on the label on your photo and the number on my older machine, made in 1995. Based on the above discussion, I would hazard a guess that your machine was made 1-3 years before mine, e.g. in the 1992 to 1994 time frame. It probably more or less resembles the picture I posted above.