Depending on how refined the edge is, before you strop, you can strop on most anything and notice some improvement. This could include various types of wood or cardboard, paper or fabric, leather, etc. The main thing is, make sure whatever you're using isn't doing more damage than good. This means the stropping surface should at least be clean and smooth, for starters. If it's excessively dirty or bumpy or irregular on the surface, it may just damage the edge by denting or rolling of the apex.
If you're not seeing any improvement from stropping (on whatever you try), that's a possible indication some additional refinement on a stone could help. On the flipside, if you can give your edge a pass or two (literally) on the thigh of your jeans and notice improvement, that shows your edge is about as fine as you can make it.