Has the Moon ever rotated faster than it does now?

Yes. The Earth-Moon system has been constantly evolving since the time the moon was formed/captured over 4 billion years ago. Geological evidence from about 900 million years ago shows an Earth day of as little as 18 hours, and with the current lunar orbit increase of 3.8 centimeters per year, it would have been located at a distance of as little as 200,000 kilometers from the Earth. Tidal forced vary as the third power of the distance, so at that time ocean tines on Earth, and the tidal friction which works to evolve the system dynamically, would have been (230,000/200,000)^3 = 50 percent stronger than they are now. The moon would have had a rotation period of 29.5 x (200/230)^3/2 = 23.9 days so it was spinning faster then. Even farther back in time, up to the time the moon was near the so-called Roche Limit, near 50,000 kilometers, it would have had an even faster rotation rate of perhaps as little as 5 days soon after it was formed.