Yes, you are able to have multiple Control Centers on the same Network. For example you can have one Control Center setup in your living room and another Control Center setup in your bedroom. Please note that each Control Center should have its own devices connected to it. Meaning you will not be able to access Apple TV that is connected to your living room setup on the Control Center setup that is in your bedroom.
It is important to note that Control Center uses infrared (IR) for many of the devices you connect. If you have two Control Center units in the same room, one might send signals to devices connected to the other.
Please also note that each Control Center remote pairs with a single Control Center box, so you cannot use one remote to control multiple units.
