Can the water in chlorinated swimming pools lead to chloride induced corrosion to the concretes embedded reinforcement?

This is very unlikely to occur.

The aim of dosing swimming pool water with chlorine is to achieve a ‘free chloride residual’ of approximately 1ppm.  Even with a heavy bathing load the dosage is unlikely to exceed 5ppm, far lower than seawater. The Atlantic sea for example, has a typical chloride content of 18,000 ppm, whilst the Mediterranean sea has a typical chloride content of 21,000 ppm. 

Values taken from the book ‘Swimming Pools’ by P Perkins (Taylor & Francis, 2000)