Rinse and pat dry the chicken breast. Mix the chicken broth and 1/2 cup of Honey Barbecue sauce together. Pour in the slow cooker. Then place the chicken breast in the slow cooker. Flip chicken breast multiple times to coat the tops of the breast. Place the lid on the slow cooker and cook for 4 hours on high or 8 hours on low.
Remove chicken breast from the slow cooker. Pull each chicken breast using two forks. Pour the remaining 1-1/2 cups on the pulled chicken and mix well.
Toast hamburger buns, place half cup of pulled chicken on each bun and a quarter cup of coleslaw, top with bun and enjoy.