I’d like to use a Pololu Adjustable Step-Up/Step-Down Voltage Regulator S8V3A to get 11.2 volts from a 3S Lipo which is typically 12.6 volts when fully charged. Will exceeding the specified 12 volt input voltage by .6 volts damage the regulator?
You should not exceed the specified 12V input voltage of that regulator. Unfortunately, I do not think we have any regulators that would be appropriate for your application.
Actually, depending on how much current you need and how flexible your 11.2 V requirement is, our new 12V SEPIC S10V2F12 might work for you. If you really need 11.2 V and want to order a high volume, we could make a custom version of this for you.