The concept of an adjustment strike is hotly debated.
Years ago, I saw a series of 1964-D
Kennedy half dollars displayed at a coin show in a Capitol Plastics holder. The dealer described them as "set-up strikes," and there was a clear progression from weaker to stronger strikes (or from stronger to weaker strikes). I have no idea whether they were from the same die pair, were in fact a progression (or regression), or were the result of strike pressure. I just know what the dealer described them as and how they appeared to the eye.
My hunch is that in more recent years, an intentional press set-up / adjustment strike would have been destroyed, rather than allowed to be placed in circulation. As for coins struck more than a century ago, I have no idea. By 1906, there wouldn't have been any doubt in Philadelphia as to the die spacing or strike pressure needed to strike a bronze cent UNLESS a new coining press (or type of press) was used. Finding that information would require a scavenger hunt through Philadelphia mint procurement records, accounts payable, shipping and receiving logs, and inventories.
Several possibilities exist. On a mechanical press, a power failure could allow a strike or two to occur before the press completely stops. On a hydraulic press, the same could occur with a loss of hydraulic pressure. "Could" doesn't imply "did."
I know this doesn't give a clear answer, but it's the best I can offer. Others may have much better thoughts on this coin.