No, the replicators are like Napster. Someone has to create the original, and he wouldn't do it without patent protection, etc., and if you eliminate legal protection for property, there won't be anything to replicate -- except food stamps.
But think about the poor guy who developed the replicator -- he's not going to make any money off his invention because he just basically destroyed the economy. How is anyone going to buy one of these things? Anything they offer for one can just as simply be made by the replicator. Replicators are like free energy -- they are simply too dangerous to an economy to allow to exist.