No
But it depends who you ask. I looked at this a while ago when I noticed cracking. Here's my notes, in case you're interested.
Discussion of tyre age:-
http://www.tirerack.com/tires/tiretech/techpage.jsp?techid=138
The article refers to two tyre industry associations that have made recommendations
“The British Rubber Manufacturers Association (BRMA) recommended practice issued June, 2001, states "BRMA members strongly recommend that unused tyres should not be put into service if they are over six years old and that all tyres should be replaced ten years from the date of their manufacture."
The British Tyre Manufacturers Association current recommendation, in contrast, says bugger-all, referring the reader to the vehicle owners handbook.
http://www.btmauk.com/data/files/Tyre_service_life_recommendations_31_May_2011.pfd
Mine is in Chinese. I'd bet the price of a new set of tyres that it says bugger-all too, but then its 25 years old.
Perhaps more relevantly for local (to me) conditions, they also refer to The Japan Automobile Tire Manufacturers Association (JATMA) who's recommended practice issued May, 2005, is quoted as stating:-
" it is recommended that all tires (including spare tires) that were made more than ten years ago be replaced with new tires." though they also attempt to pass the buck to the owners handbook.
So both these recommendations, including the one from the famously anal Japanese, [EDIT: That should perhaps be now be "famously (at least until Fukushima) anal Japanese"] are for 10 years.
These are of course general recommendations and not necessarily best current practice.
Bridgestone-Firestone has apparently adopted the Japanese recommendation, with the caveat that there is/was no specific technical basis for it.
http://www.safetyresearch.net/2006/01/01/number-of-tire-age/
“we believe it is appropriate to follow the JATMA recommendation in the interest of further encouraging consumers to focus on the importance of maintaining and properly replacing their tires.”
They also defer to the owners handbook.
Ford and Chrysler apparently recommend 6 years regardless of tread or use. They get sued a lot, as you might expect.
This gives them a vested interest slightly different to that of the tyre producers, who don't want to get stuck with ageing inventory.
http://thesafetyrecord.safetyresearch.net/2010/11/18/tire-age-issue-still-languishing-in-us/