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No, I can't read data from the blockchains of 2304 coins currently on Coinmarketcap.com. Can you?

Yeah, you wouldn't be able to read it from Coinmarketcap.com, at least not that I know of. It would require connecting to one of the Steem nodes and making API calls. But I don't know if there are existing API calls that would return information about things like newly-minted STEEM. Other possibilities are database services like https://steemd.com/ and https://steemsql.com/