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Sorta. The stade was based on the pous which varied. But not that much, and in ways that are often consistently documented. Around the time Eratosthenes was alive, give or take a couple hundred years, it was documented that 1 Roman mile = 8 stades, which gives us something to go of off. While there are other possible definitions, we do have one that we know is probably closest to whatever Eratosthenes used.
EDIT - the numbers regarding the error range in this source is likely inaccurate, but goes into the units issue
https://maa.org/press/periodicals/convergence/eratosthenes-and-the-mystery-of-the-stades-how-long-is-a-stade
+/-20% error isn't terrible on a conversion. The fact that it's only 10% offset is crazy though.