Cook the rice noodles according to package directions, drain, and set aside.
Whisk together 4 tablespoons soy sauce, the jam, and 1–2 tablespoons honey in a small bowl or jar to make the honey-soy sauce; set aside.
Heat a large skillet over medium-high heat and add 2 tablespoons sesame oil. Add 4 cloves chopped garlic, the grated ginger, and red pepper flakes; cook until fragrant, about 30 seconds.
Add the sliced chicken and 1 tablespoon soy sauce to the skillet and cook, stirring occasionally, until the chicken is lightly caramelized, about 5 minutes.
Stir in the cashews, then pour in the prepared honey-soy sauce and continue cooking until the sauce glazes the chicken and the chicken is cooked through, about 5 more minutes. Remove from heat and stir in the chopped basil.
While the chicken cooks (or in a separate medium skillet), heat 1 tablespoon sesame oil over medium. Add 1–2 cloves chopped garlic and cook until golden, 1–2 minutes.
Stir the coconut milk into the garlic oil and cook until warmed through, about 3 minutes. Remove from heat and toss the cooked rice noodles with this coconut sauce until evenly coated.
Divide the coconut noodles among bowls, top with the honey garlic cashew chicken, and garnish with diced mango and lime wedges. Serve immediately.