Negative. According to FE the puny moons have enough force to affect us, while the sun does not. Not to mention the fact that the sun does not crash into the Earth, so you can't increase gravitational constant G. I calculate that according to FE, the FE sun ought to give a gravitational force of less than 0.025 Newtons, which does not correlate well to any attempt to use the moon, which will provide even less force. Let me give you an example of using 0.025 Newtons on a plane. That means that the planes acceleration is 0.00000025 m/s^2. Which means that the plane moves 1 additional meter every 400 days. Over an year. Best chance. Coriolis effect is stronger than that...besides, doesn't FE have enough moons already to explain the tides? Oh, and if the moons were close enough to make the Coriolis effect, they'd crash into the Earth. Plus they'd interact with the tides in an easily observable manner...
EDIT:Just thought of point number 2 -- According to a FE, the earth spins about the North Pole, correct? Therefore, since the lateral velocity of the Earth due to spin would be zero at the pole, the Coriolis effect, according to FE, would be strongest at Antarctica, and disappear at the North Pole, and the equator would be the midzone. This is not observed, and can easily be proved with the curvature of a plane flight, or a quick look at the trajectory of a hurricane. Well? I think that this is one of the stronger points against FE.