Yes, your AC unit will draw a decent amount of current, creating a larger voltage drop on your electrical service, resulting in a lower voltage at your wall outlet, thus weaker coil action. In addition, most of your neighbors also have their AC units running, causing voltage drop on the utility distribution system. I'd suggest taking a voltage measurement at your wall outlet. If it is low, say less than 116 volts, contact your utility and ask them to perform a voltage investigation and verify that the transformer and service wires serving your house are adequate.