Not as much as a highly concentrated/unstable peroxide! The carbon filter in your reverse osmosis system will neutralize the chlorine. That’s the reason it is there.
Btw, most municipalities have moved/are moving to chloramine disinfectant (i.e., chlorine mixed with ammonia) due to the carcinogenic byproduct called trihalomethane. Chloramine is about 5 times stable than chlorine and generally requires active carbon instead of the pressed carbon block (for the same size filter) to remove it.
If your source water is 50 ppm or more, you are either using reverse osmosis filtration or you need to be as the compounds in the water will compete with and change your nutrient mix. Also, stay away from pumps that have disparate metals exposed to the water as it will create a galvanic reaction, which will also affect your nutes.