Safe to install Illumra wireless switch kit with 2-Pole wiring?
Assuming you have a conventional wiring setup, yo are looking for a single pole switch to control simple on/off of a single fixture. (Double pole or 2-pole refers to one switch controlling two separate lines or devices.)

In the US, the black and white wires would indicate that you are dealing with 120 volts. The black wire should be hot and the white wire should be neutral. If there is a bare wire or a green wire also present, that would be ground, a safety feature (but many older houses do not have these). A hot line can also be red, and two hot lines (red and black) are sometimes present.

A switch breaks or interrupts the flow of current on the hot. In wireless switch systems of the type you describe, the physical switch itself is not connected to the circuit at all. Instead, it controls a relay (called a receiver) that is inserted into the circuit that acts as a switch, making and breaking the flow of electricity.

INSTALLATION: The following instructions assume that there are two cables coming into the switch box and there are both a black and a white wire present.

If you want to use the wireless switch system in place of the existing switch, you can take out the existing switch and mount the receiver in that box. You will later cover it with a blank plate. 

The receiver in that system has three wires. The red wire is the hot power going into the receiver. It is connected to the hot line (black) at the switch. The Receiver's white wire is the neutral and is connected to the white wire in the switch box. Note that the existing white wire in the box is probably not connected to the old switch but goes on to the fixture. You need to connect both the fixture white wire and the receiver's white wire to the incoming white wire. The receiver's third wire (black) gives power to the fixture and is connected to the black wire going to the fixture.

If you are not sure which black wire is hot (coming from the main power source) and which is the line to the fixture, this can be tested with a non-contact tester.

Once the wires are installed, the receiver is paired with the remote switch. The switch will then control the receiver and the fixture.

These types of switches are rated for 120 volts and up to 500 watts. Just be sure to order the right type.