Combine 4 tablespoons oil, vinegar, 1/4 teaspoon pepper, and 1/4 teaspoon salt in a large bowl, stirring with a whisk. Add peaches and slaw to vinegar mixture; toss gently to coat.
Sprinkle chicken evenly with remaining 1/4 teaspoon pepper and remaining 1/8 teaspoon salt. Heat remaining 1 tablespoon oil in a large nonstick skillet over medium-high heat. Add chicken to pan; cook 6 minutes or until done. Place chicken in a large bowl. Add barbecue sauce to bowl; toss.
Divide slaw mixture evenly among 4 plates; top evenly with chicken strips. Sprinkle with chives, feta, and bacon.