Actually that would make perfect sense.
They've always stated that Latinum can't be replicated.
Replicators have the limitation that they can't create life, only inanimate objects.
The ENT episode "Dead Stop" gave proof that replicators cannot create life itself, ergo the fake Mayweather body that was replicated by the Repair Station.
This would make sense since the organic creature lives in some sort of gelatinous goo.
The main problem would be keeping the organism alive and preventing it from growing.
However, I do see somebody eventually finding a way to forge latinum by making their own latinum farm.
Ergo inflation and counterfeiting