Could Romney have turned around the economy?

So my coworker the other day asked me:  "Do you actually think Romney could have turned the economy around, especially after the mess the guy before him made?"

I said, "Yes I do.  FDR was handed a recession, and he increased taxes and regulations and it turned into a 10 year long depression.  Obama was handed a recession, and he increased taxes and regulations and turned it into what we have now.  On the other hand, Warren G. Harding was handed a recession, and he cut taxes and cut regulations, and the result was the roaring 20s.  John F. Kennedy, Ronald Reagan, and George W. Bush did the same, and the result was a booming economy.  I know people don't want to believe this, but the economy of the 2000s was booming after the Bush tax cuts until democrats took over the House and Senate in 2006."