"Do you mean the plants next to the swimming pool edge or coping, decking? Even with splash out , the chlorine content will not be high enough to effect the plants. There will be no chlorine fumes unless you are having a company add chlorine gas to the pool and even then very little will escape -- will be dissappated by air flow. However, on the other hand many plants will affect the quality of the water and the chemical levels because they are organic. The effect can take place as dropped leaves, bugs, fertilizers, and sprays, dropped flowers ( bouganvilla is the worst). Plants that shed their foliage in the fall are not a good plant around a pool.
Remember, you or the pool guy have to clean them out each and every week. This dead vegetation does little for the filter & pump. Check with a very good nursery in your area for selective plants for pool side use.