No. Not really.
Statistically, being over the age of 30 limits your likelihood of winning the Tour de France. See, the average age of Tour de France winners in the last 99 events is 28 years, one month, and ten days old. However, in the past ten years, the average age bends a little higher because of the likes of Lance Armstrong (34 at his last win) Carlos Sastre (33 when he won in 2003) Cadel Evans (34 in '11) and Bradley Wiggens (32 in '12)
But this author does not feel age should be a limiting factor. In fact, as the average age of cycling club members increase, the higher the opportunity to use the health benefits of cycling to your advantage. As with most issues of aging, a slight shift in attitude goes a long way. I was told once its best to look at adjustments you need to make to your lifestyle as you age as "Maintenance." Another change comes in recalling all of the great rides (and scenery) you have experienced in your cycling history.
All sound good to me.
But then there is still the issue of decreased muscle mass, the amount of rest needed after a century and the fact fellow riders seem to get younger and younger every year.
Listed below are some resources to help you understand the changes in your body and what that means. Training tips, equipment adjustments, rest requirements - all critical factors to be aware of and juggle as you age.
https://trainright.com/what-older-athletes-need-to-know/
Great tips on managing your desire to continue cycling:
https://www.active.com/articles/tips-for-older-cyclists-to-get-more-out-of-riding?page=1
http://www.cyclorama.net/viewArticle.php?id=236