I think I understand what you mean, and no I don't think there is any way. To my knowledge anyway, no manufacturers would keep any record of the movement to the watch case that it ships out in (for vintage pieces). I might be wrong, but in my time I'm pretty sure that's how it works.
No idea about modern pieces, but I assume it's similar.
The only case where you might be able to tell, are pieces where the movement is in extremely limited production.
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