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That seems like a waste of time and chemicals, because pH / TA are related and generally work opposite the way you've described. For example, if your pH gets too high, there's risk of scale forming on pool equipment, as well as some other minor issues around water comfort and chlorine effectiveness. The most common fix we recommend for high pH is adding muriatic acid to the pool, which lowers pH and also neutralizes some TA. The remaining TA in the water will naturally force the pH back up until it finds equilibrium. The higher the TA, the more acid it takes to drop pH, and it'll rebound faster.
If, by accident you added too much acid (lowered the pH as in your question), there is risk of etching your pool plaster and corroding metal parts in your equipment. It also can be very uncomfortable to swim in. But there's no need to fear, because there's a common fix: aerating the pool will speed up the natural rise in pH without adding chemicals.
Basically every pool is different and will want to find its own equilibrium between TA and pH. But raising TA to drop the pH is like this old Greek guy I read about trying to push a boulder uphill... Raise TA, add acid to lower pH which also lowers TA... Then a few days later you notice the pH is back up too high so you add TA so you can drop the pH which starts the feedback loop.
