Nope. Kublai Khan chose 元, meaning something like "beginning". The currency is called 圆, which means "circle", or "round". Yuan wasn't always the name of the currency, but was more of a unit.

Here's a Quora thread with some better explanations:

https://www.quora.com/Why-is-the-Chinese-currency-called-Yuan-Is-it-because-of-the-Mongol-Yuan-Dynasty