Not necessarily:
What is the largest denomination of US currency? Does it have anything at all to do with how many ones, fives, tens and twenties the Bureau of Engraving and Printing produces?
Let me try that again: Every US paper dollar printed represents one dollar in trade that the Fed estimates is taking place on a given day. When the number of trades is very high -- during a period of stable dollar valuation -- the Fed will accelerate printing, and when the estimated number of trades is low, the Fed will decelerate the printing process.
Therefore, a high rate of currency production will generally reflect a greater amount of commerce and therefore a more thriving economy.