No. But the perks can change the stats and you will get different perks on each drop. So theoretically, yes?
But having the same gun drop with a higher fire rate or lower impact just wouldn't make any sense. It changes the blueprint of that gun.
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Thats kind of the point though, to maybe get an awesome design but with the stats you want
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So you like transmogrification. Ok then.
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No, like borderlands. Where the same weapon can drop with different stats and abilities. Yet It may look identical to a weapon you already have. This allows a vast array of weapon variety, with different stats to compliment peoples individual styles as well