Heat about 2 tablespoons of vegetable oil in a skillet over medium heat on the stove.
Sautee the garlic and ginger in the oil until fragrant, about 4 minutes.
Add red curry paste, coconut milk, and chicken stock, whisking until well combined.
Mix in red chili paste or chili crunch, wine, and soy sauce to the coconut curry broth.
To the skillet, add bok choy, half of the cilantro, carrots, and half of the green onion, followed by the wontons.
Allow to simmer, covered, for about 10 minutes until wontons are heated through and bok choy is tender.
Garnish with additional chopped cilantro, green onion, and a squeeze of lime.