There are ways, but it can get kind of geeky. The main trick is establishing the ability, sometimes in the BIOS, sometimes in the OS, to allow simultaneous use. And to get it to work you have to set up each type of connection as a different physical network. Of course, modern computers are made for non-technical people for the most part, and make all this stuff happen in the background to make using the network and its resources available. You have to dig in and make some manual changes, in your case, I would say to the wired connection since it is dedicated to a single purpose.
Or you might consider adding an adapter to your SmoothStepper to convert it to wireless and just operate on the same network. Of course, there are catches to that solution, especially if there are other users on the wireless portion of your LAN. Some may be easy to overcome, some may be virtually insurmountable. I'm not the geek I used to be, so I probably can't walk you through it step by step, but someone else here probably is up to date enough to advise.