Sure there is. It all depends on what we, as society, value. So long as the market exists and is supported by enough people it continues. If society decides it no longer collectively finds a given market acceptable (not in the legal sense necessarily, as drug markets show, but as in willingness to pay and participate in), then the market collapses.

For the art scam, if people decide that generic keepsakes from tourist destination are no longer valuable, or send the wrong kind of social signal, that market will collapse.

Social change is possible, but I’d argue we have MUCH higher priorities in social change department over the fake art.