I would say NO.
I have trained so many people around their 60s and even 70s, and let me tell you.
Some are much fitter than most 20 years old around.
So the training sessions should be catered for individuals and not age.
And above all, never let your age limit what you can do.
For more tips, read my books available on this website.
Is there any fitness limitation for a 60-year-old?