Complex question, but there are a few aspects that work against them:
- coral typically takes several years before reaching sexual maturity. Adaptability to a changing environment strongly depends on this.
- corals typically occupy ecological niches.
- acidification directly interferes with a key part of their metabolism and habit. It's like asking whether mammals can't evolve to a life without skeletons.
Corals are an extremely diverse group of organisms that interact with other organisms through complex relationships. Take them away (or reduce them to a select few species that fulfill a fitness) and you're going to see lots of damage to other populations.
A pessimistic but plausible scenario has ocean pH decreasing by an additional 0.7-0.8 by 2300.
That's pretty fast. It's hard to predict how and how fast coral might adapt, but those are short time scales to expect evolution to act on.