You can but it's extremely, extremely rare for the very simple fact that your primary skills as a manager is people skills and the ability to relate to other peoples situation. Something you normally won't be as developed at that point.
At 28 you have more experience than a 18 year old, but not much and def not enough to be able to relate to a 35 year old person in most cases.
So not sure I find it ironic. Rather I can relate as I have seen my share of managers and been myself for the last 22 years.
And yes older managers have problems too :)