I suppose there might be and I'd never step into a black swan argument, but I don't think so.
Lets say you have a new house as a comp and two others that are 5 years old, and your subject is 5, all are identical and the new sold for $110,000 while the five year olds sold for $100,000. The depreciation is 9% of the total value, which arguably is an effective age of 6 if the total economic life is 65. But that would be applying depreciation rates to the land and the "as is" value of the site improvements (both are included in the overall sale prices). Depreciation, or effective age, is based on the improvements only. So that $10,000 loss is the result of deprecition to the building, and in order to know what that % is, and in order to determine the effective age, you would have to know what the cost to build the building is.
So, if the land value is $32,000 and the site improvements as is are $8,000 the deprecaition is $10,000 of $60,000 cost to build or 16.6%, which is an effective age of about 11 or so.
Of course this example excludes economic and functional forms of depreciation, which are other variables to consider.