Japan has tried this before to limited success. The Bank of Japan had its interest rates set near 0% for much of the past decade, and yet its annual GDP growth hovered just about 0%. You could say that without low-interest rates Japan would have been in depression for all of that time, but low to no economic growth is not a sign of a successful policy. Japan's economy did seem to recover in early 2009, but that was only after the country had raised interest rates and then lowered them again.
Second, the recent experience in the US suggests that low-interest rates do not necessarily have the effect economist normally expect. It is thought that low-interest rates because they make it cheaper to borrow will cause companies to borrow money to buy equipment, build plants, boost production or hire more workers. All those activities should boost the economy. In fact, that's not what US companies are doing. They are borrowing money at ultra-low interest rates, but they are not spending that money on plants or equipment, and they are certainly not hiring. Instead they are sitting on the money. Or they are using it to retire old higher interest rate debts. Or they are buying their stock to boost their shares. And none of this appears to be boosting the economy.