According to our current understanding of physics, a gravity well cannot cause an object to move faster than light. The theory of special relativity, proposed by Albert Einstein, establishes that the speed of light in a vacuum is an absolute speed limit. No object with mass can reach or exceed the speed of light.
In the presence of a gravity well, such as a massive object like a black hole, the gravitational pull becomes stronger. As an object gets closer to the event horizon of a black hole, for example, its velocity relative to an observer outside the gravity well may approach the speed of light. However, it would never exceed that speed.
As an object approaches the speed of light, its relativistic mass increases, requiring more and more energy to accelerate further. The energy required to accelerate an object with mass to the speed of light becomes infinite. This means that no matter how strong the gravitational force is, it cannot provide enough energy to propel an object beyond the speed of light.
It's important to note that our understanding of the laws of physics is based on current theories and observations, which have been extensively tested and verified. While there are still some unsolved questions and ongoing research in areas like quantum gravity, it is widely accepted that objects with mass cannot travel faster than the speed of light.