Heat a large skillet over high heat and spray lightly with olive oil.
Add the ground chicken and cook, breaking it up with a spatula, for 5 to 6 minutes until no longer pink.
Stir in the chopped shallot and cook 2 to 3 minutes more until softened.
Add the soy sauce (or tamari), fresh lime juice, and sambal oelek; cook 1 minute more, then remove from heat and stir in the minced fresh mint.
Pour hot water to a depth of 1 inch in a large, shallow dish.
Dip one rice paper sheet into the water and let it stand about 30 seconds or just until soft, then transfer to a flat surface.
Arrange 2 basil leaves on the top third of the sheet, place about 1/3 cup of the chicken mixture on the bottom third, and top with about 1/4 cup slaw.
Fold the sides of the rice paper over the filling, then roll from the filled side up jelly-roll style and press the seam to seal; place seam-side down on a serving platter and cover to prevent drying.
Repeat the dipping and filling process with the remaining sheets, basil, chicken mixture, and slaw.
Stir the hoisin and 1/4 cup cold water together in a small bowl and serve alongside the rolls as a dipping sauce.