FOR THE DRESSING: Add all of the ingredients to a blender or food processor. Add water as needed until desired consistency is reached. Taste and adjust seasoning as needed. Cover, and place in the fridge until ready to use.
FOR THE WRAPS: Spread 1 tbsp of peanut sauce down the center of each wrap* then layer equal amounts of each remaining ingredient on top of that. Roll up wraps and slice down the center. Serve with remaining peanut sauce on the side.
Notes
*If making ahead of time, you may want to leave the peanut sauce out of the wrap and just serve on the side. This will help keep the wraps from getting soggy.