Seems unlikely. The Lightning-Network already applies Milli-Satoshis (msat). A thousandth of a satoshi. They are rounded to the nearest Satoshi when a channel is closed. Correct me, but AFAIK until then many transactions can happen between two parties.

However, 1 Sat == 1$ would mean that all BTC are worth roughly 21 * 10^6 * 10^8 =~ trillions of dollars. How can this ever become true? And what would a dollar be worth then? At least the price of Lambos will go through the roof... 

IMHO the Dollar and the Euro (and thus all other currencies) will already begin to tumble when 1 BTC comes close to 100.000 $.

Then currencies slowly will become... something else. Like so many I believe currencies in the present shape have no future. For me it is a dangerous perversion of the current monetary system, that individuals can own hundreds of millions, and do nothing useful with it, while so many people cannot pay for medicine, rent or healthy food.

I think that if you are crypto-rich in the future, whether you like it or not, you will have to take responsibility for the society and the environment you live in. In other words, take your cryptos, bring the right people together, take those sick Dollars and Euros out of the equation and people will do wonders. I strongly believe that. Anything that has gone wrong on this planet can be healed on this planet, isn't it so?

In short, who wants to live in a world where dollars and euros are still dominant and 1 Sat == 1 $?