No, but then to be fair neither was the Roman Empire, really. These 'Roman Empire at its height' maps invariably assign territory to Rome that the Romans never really controlled.
In this case the most obvious offenders are Mesopotamia and the Caucuses. Roman control over those regions was notional at best and even that only very briefly. Roman power never extended to the Caspian or the Gulf.
The map is a bit more cautious in North Africa and rightly so - Roman power didn't extend meaningfully into the desert either. As Gabe Moss has shown, the Romans couldn't really operate there. Roman power inland wasn't zero, but it wasn't 'control' either.
For a better sense, I like the approach taken by map 11.1 in The Romans: From Village to Empire (map available via the @AWMC_UNC here: awmc.unc.edu), which contrasts firm boundaries (the German limes) with 'fuzzy' ones (N. Africa, Mesopotamia, etc.)
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