“An image” is sadly not giving us enough information. You originally asked about Paint Shop Pro - which is a raster editing program. PSP, or Pinetools can easily cut images in half. .jpg, .png, .tif - those are all raster file formats.
You then asked about PDF and SVG - those are called “container” formats - they can hold either rasters or vectors.
Most raster programs will not open .svgs, but can open the raster portion of .pdfs - so you can see why we’re having a hard time answering your question.
If all you want to do is engrave an image, then your best bet is to make it a raster and cut it in half in what should be a few minutes work. Most vector programs have some sort of Export As/Save As bitmap function. In the case of Pinetools it’ll do it automatically when you upload your .svg.
If you’re trying to cut out a shape then you need to stick with the vector format - it’s still doable, but more complicated and no, PSP or Pinetools won’t do it. Illustrator will, as will any vector editing program. There are instructions for that here: