Preheat your oven to 400°F and line a small rimmed baking sheet with parchment paper.
Trim the tough ends from the asparagus and toss the spears on the baking sheet with half of the olive oil, salt, and pepper.
Roast the asparagus for 12 to 15 minutes until they are tender and slightly charred at the tips.
While the vegetables roast, season the chicken breast on both sides with the remaining salt and pepper.
Heat the remaining olive oil in a medium skillet over medium-high heat and sear the chicken for 5 to 7 minutes per side until cooked through.
Remove the chicken from the skillet and set aside; add the minced garlic to the pan and sauté for 30 seconds until fragrant.
Stir in the coconut milk, lemon juice, thyme, and rosemary, whisking to scrape up any browned bits from the bottom of the pan.
Simmer the sauce for 2 minutes until it thickens slightly, then return the chicken to the pan to coat thoroughly.
Plate the chicken with a generous drizzle of the creamy sauce and serve immediately with the roasted asparagus.