Yes after boiling it for 2 minutes + If it's heavily chemically laded the aquatic fauna and fish would start to die. If nothing can be seen dead, dying then a litre or so of water with chemic in it isn't going to do you much harm. And boiling for 2 mins plus will kill off all the nasties that will give you the spews, sh1ts, and the like. The only known organism that can withstand boiling, disinfecting are water bears and you will have drunk many millions of them over your lifetime via the public supply.
Threads like this make me smile if you live in places like the east, southeast and the north to some extent. Water extraction takes place from the rivers like the Thames, Nene, Gt. Ouse etc whilst the nasties are dealt with in the public supply many of the Chemicals from the farming, industry aren't because they can't in many cases take them out.
Bottled water is no different either, so don't say oh me and my family only have bottled. If anything Bottled is and will get worse due to the contaminants leaching through the rock strata and into the aquifers its drawn off through out dirty habits of treating the earth and land as a tip for every man-made unwanted chemicals and waste we have little or no use for.
So all the regulators can do is set what they believe is a safe drinking leave of chemicals in each litre. So yes you're already drink the chemicals you are concerned about.
The North is slight different as it's rain water is stored in surface reservoirs. But the water droplets that fall, collect airborne pollutants as they form in the clouds. So again we drink that water up here in the North.
We are also still drinking some radioactive materials from the Chernobyl explosion that are still being released from the upland soils by rainwater, which have longer half lives, several hundred years, than the initial materials the furore was about.