Campden tablets may harm the yeast if you were to add them to your wort prior to or after pitching and added them in a quantity of about 1 tablet per gallon or so, but adding them to your mash and sparge water will not harm your yeast one bit. The sulfur dioxide created (the stuff that acts as a preservative) is pretty volatile and will be driven off by heating the treated water. It's volatile enough that winemakers have to keep dosing their wine with sulfites to maintain a certain level up until they bottle.
The reaction that removes the chlorine/chloramines happens nearly immediately.
I've thought about getting a filter to remove the chloramines in my water, but after I realized that you have to run your water through at a slowish rate I decided against it. With campden tablets I can fill my HLT and mash tun as fast as my faucet and RV hose will flow, toss a crushed campden tablet in each vessel and be done. Cheap, fast, and easy!


