ethernet shield to run arduino cnc shield

Good day guys. this is my first post so please forgive me if I do not get all the details correct.
I currently run an Ardunio Uno R3 board with a arduino V3 cnc shield. I am currently experiencing a lot of interuptions with my cutting projects because the machine just shuts down due to “noise” I have run an earth cable through the machines chassis to try curb this but I am still experiencing problems. Now my question is can a slip in an ethernet shield into the stack and then control the V3 board via an ethernet cable instead?
Thank you.

"Interruptions" of what?

Which communication method are you currently using for control of the board?