Preheat a grill to medium-high heat.
Brush the chicken breasts with olive oil, and season with salt and pepper. Place the chicken on the grill and cook for 4 to 5 minutes, until golden and brown. Flip the chicken and continue cooking for 3 to 4 minutes on the other side.
While the chicken is cooking, add the mango peach jam, soy sauce, lime juice, ginger, and jalapeno in a saucepan. Place the saucepan directly on the grill grates and let the glaze simmer 3 minutes so the flavors can marry together.
Brush the glaze on the chicken breasts during their last minute of cooking. Remove the chicken to a cutting board when done and brush again with glaze.
Shred the chicken with a fork, or dice with a knife.
Place the chicken in lettuce cups together on a platter. Sprinkle with green onions. Serve with Smoky Corn Salsa.
Preheat a grill to medium heat.
Rub the corn with canola oil, and season with salt and pepper. Grill or broil the corn ears for 7 minutes or until the ears are lightly browned. Remove corn from the grill and cool.
With your knife, slice the corn kernels from the cob and add to a bowl.
Add the tomatoes, onion, cilantro, jalapeno pepper, garlic, and lime juice and toss well. Season the salsa with salt and pepper, to taste.