Well, I mean, in the sense that basically all historical ages are invented by people long after that time and would not have been recognized as such by the people who lived through it, then, no.

The early moderns didn't know they were in early modernity. The fall of the Roman Empire was constructed as a narrative long after the facts became clear. We don't know what age we are living in right now that will someday be named by future historians (probably as the "last bit before the climate went tits up" or words to that effect)