Can you split a composite video signal coming out of a video game system so it will display on two screens

The way I understand Video distribution is that you might need an amplified splitter. This is because if the signal strength drops too much you end up with a degraded picture.
Use a VDA- Video Distribution Amplifier. A powered device with one video composite input and a at least 2 or more composite video outputs. Take any output to the video in of any video device with a composite video in. Usually a BNC or RCA connector. Use shielded cable. preferrably 75 ohm coaxial type, however for short runs ( a few metres) the standard yellow lead that comes with AV red, white , yellow will suffice.