Oou can use the Gcode plotter extension for inkscape.
You download the extension from the inkscape website. I assume you would convert your drawing/image in to a .dxf (i assume)
Then the extension would convert the drawing in to usable machine code. As for your machine there are dozens of options, you could use a GRBL type arduino set up, or something more
"industrial" i guess. Something Mach3 based or an Ethernet smooth-stepper.