Does a PS3 take controlers with wires?

Yes, the PS3 takes controllers with wires. In fact, it came bundled with a wired controller when it was first released.

While the PS3 supports both wired and wireless controllers, the original DualShock 3 controller connects to the console via a USB cable.

You can also use third-party wired controllers that are compatible with the PS3, but the official Sony DualShock 3 is the most common wired option.