Whether or not that much untreated tap water will affect this fish could be up for debate, though I feel that at a minimum there would be health issues in the long term.
In the short term, however, you would run a high risk of it killing off the BB in the bio-filter, causing the cycle to crash. After all, the reason the chlorine is in the water in the first place is to kill off bacteria and other microbes.
When I was a kid we used to fill used milk jugs with tap water and let them sit uncapped in a window sill. After a day or two the chlorine would gas off on its own without needing treatment.
Today's water treatment does more than take care of chlorine though. It also makes the heavy metals that might be in the water safer for fish.
Sent from my iPhone using Aquarium Advice