I believe physics says yes. But there’s probably a lot of variables including the lay of the felt fibers, temperature, humidity, air pressure and flow, the moon, etc.
Also, the act of breaking the first time would change the variables involved to a point where it would be impractical to establish the same set up exactly.
After all, the balls are unlikely to be perfectly balanced, so how do you ensure they’re placed exactly? How do you make sure the felt is matted exactly like it was the first time? How do you ensure that the surface of the cue stick is exactly the same as the first break? Etc.
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