What? No. Marxism notes that scarcity wouldn’t be a thing with increasing industrialization. Indeed, it isn’t; we have plenty of resources to put a roof over everyone’s head and food in their belly. The base of Maslow’s Hierarchy of Needs can be completely covered, and the rest are not necessarily best fulfilled by mere material possessions. We could have the whole thing done in a year if society simply made the choice.

Now, I don’t think the Federation is Marxist, because we actually know very little about how the economy works at all. There’s contradictory information, it might depend on what time period or planet you’re talking about, and the writers have generally been uninterested in exploring the economy beyond superficial mentions.