Rather than being a hard limit imposed by a physical pile of rare metal (which it was in the U.S. until 1971), fiat currency is instead tied to the trust level of the government issuing it.
This means that theoretically, yes, the folks in charge of your country could expend tremendous effort filling up warehouses with printed cash (or bank accounts with billions of 'fresh' digital dollars) if they wanted.
However, there are innumerable practical limits on such behavior:
Any country that suddenly declared it had more money than all the others combined and was now buying up all the available land on the planet would find themselves in a heap of trouble. Trust still has to be earned & maintained, and this involves continuous demonstrations that no one is 'cheating'. Localized experiments by playing with 'created' money (responsibly) are fine, however, and through this aspect, fiat currencies provide very useful flexibility which is now essential to modern life.
If the government just gave everyone a million dollars, the purchasing power of that money would quickly disappear as purveyors of the most popularly sought limited resources raised prices to meet demand. This is inflation. Eventually most people's extra million dollars would be spent, and almost no one could afford the items with jacked up prices any longer. In turn, those prices would fall back down to - once again - meet demand (deflation). Sellers need buyers and vice versa. Money would change hands, there would be winners and losers, and it would be hugely disruptive-- but eventually life would return to normal for 99% of folks and it would pretty much be like it never happened.