I addressed the question via email to Berkey filter and here is the answer:

Q: Can your filters safely remove the multiple chemicals that are often added to swimming pool water? The idea is to use the pool as a source of drinking water in an emergency.

A: I am not sure of all the chemicals in swimming pool water but a list of removed chems re listed at www.berkeyfilter.com home page. Removal of chlorine for sure.

Thank you,
Dwayne Hinton
Hinton International

Note: The list of chemicals listed on the Berkey website as being removed by their filter is quite extensive. I am not qualified to know if it would remove every harmful chemical used in pools, but using their filter would do a lot to reassure me that the water is safer to drink.