Sort of. Nothing can move faster than the speed of light in a given reference frame. But nothing prevents you (in theory) from moving a section of space at a speed greater than the speed of light - and within that space, an object can move faster than the speed of light to an outside observer.
One way to (theoretically) do this is with the Alcubierre Drive - a drive that expands space behind an object and contracts it in front of the object to create a "warp bubble" that is moving faster than light. Anything within that bubble could conceivably move faster than light. But that is entirely theoretical at this point.
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