Yes, you can export a WMS image out from Surfer.
Click the Home | New Map | Base from Server command or Map Tools | Add to Map | Layer | Base from Server command to open the Download Online Maps dialog. Once you have selected your desired data source and defined your download area and resolution, you can click OK in the Download Online Maps dialog. When you click OK, the image is downloaded and imported into Surfer as a Base(raster) map, it is like any other image file. There is no longer any link to the server it was downloaded from.
Once it is imported as a base map, you can turn off the axes and export it out to a new georeferenced image file for use in other software if you like.