Some people may - I use a bag stapler and some small spring clamps to help hold the pieces together when I first start to join them. I have found that it works better for me once I start to join two pieces to feed them together by hand as I go - seem to get less puckers this way. I have seen on some sewing sites where a form of two sided tape was used. For me glue would be messy and more difficult to use than sewing the vinyl the way I do as I have Arthritis in the hands and things tend to sometimes slip out of my grasp (not complaining as I know there are lots of other people who suffer far worse than I do with joint pain and other ailments) - would be afraid the glue would end up in places it should not and in the wrong quantity. I do use an adhesive to hold the foam, backing and vinyl for when I make the pleated section but is sprayed on surfaces that don't show - it does a nice job but also adds to the cost of the final product.
For my hands and arms I take regular asprin. I'm suffering from working on my deck this week. I'm sure that the brush painting will be even worse. The asprin works best for me and it is the cheapest. Good Luck, Rick