The giant distances you speak of have little influence on the result, and if anything makes the scenario less probable.
Your question presumes an instantaneous acceleration and subsequent deceleration, of a fairly massive pair of scissors.
It presumes that a giant holder would be strong enough to initially impart such an acceleration, and that the scissors would not break due to the high stresses involved with either change in velocity. Knowing that muscular contractions are fairly inefficient, perhaps 3-5 times the energy applied to the scissors, would be generated as heat.
If we think of the energy required to move such a massive pair of scissors close to light speeds, changing momentum, and overcoming real world air resistance, I imagine that the scissors (and its holder) would not survive the local presence of such a high amount of energy, without having to absorb some of it. They would instantly disintegrate into pure energy.
Your scenario would be more probable if both the people and the scissors were instead infinitesimally small. Even then, it is still unlikely that any matter could break the speed of light, and remain in its initial state.