The callers of BS are correct. I have a SC Quarter (at least it should have been a SC Quarter) that is blank on both sides. Found it in a bag of SC Quarters from the Mint. It is worth about 2 bucks. A one sided coin is possible, as stated, if two coins are feed into the press simultaneously, but it's probably only worth $5, not $1,000,000, unless it was rare for some other reason such as a quarter imprint on a dollar blank...like the so called "Sacagewea Mule" which has a quarter imprint on one side, and the Sacagewea Dollar imprint on the other. I think the 1st one found went for a few hundred thousand, until more were found and the price dropped to about $10,000 or less.
As for being found prior to release by the Mint, everyone who collects coins knows that although the Mint finds many errors, just as many are released...when you make millions of coins a day, it's difficult to inspect everyone, no matter how automated things may be.