Specimen is a minting process, not just a die. Dies were expensive and difficult to make and were often used to strike business strike coins after they were finished striking proof/specimen coins.
So to answer your question: No unless there is a known die marker.
For example, the circulation quality 1792
Half Dismes struck for Thomas Jefferson in July can be differentiated from the presentations strikes from October by rust on the dies.
-----Burton
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Author: 3rd Edition of the Sample Slabs book,
https://www.sampleslabs.info/