Can Carbide Motion be used with a Genmitsu ProVer-4030 machine?
No, Carbide Motion only works with machines sold by Carbide 3D.
There are other options that might work. cncjs and Estlcam can run my other diy machine. I prefer the Carbide motion on my Shapeoko though for running. Estlcam for my programming and Onshape for my designing. There is a lot of help from the guys here for cncjs though.
Welcome to the forum.