Did a quick look online and you can use a CNC router for cutting and etching glass, I’ve put some links down below.
Here is a quick rundown of what needs to be done to cut the glass
Slow feed rate, 1-3 inches per minute for 3mm glass
Fast spindle speed, as fast as the spindle can go.
Water for cooling the glass and keeping dust out of the air. Only a small amount of water is needed, just enough to cover the glass.
A diamond burring tool
Overall it looks like it would more than doable to use the CNC router for cutting out glass.