
Heat the vegetable oil in a large skillet or deep pan.
Add the ginger, garlic, and Thai paste and stir for 40 seconds.
Pour in the coconut milk and the chicken broth and stir until well-combined.
Add the fish sauce and the sugar and stir well.
Put the chicken in the pan, and allow it to simmer for around 8 minutes.
Add the eggplant and simmer for another 5 minutes, stirring occasionally.
Mix in the snow peas and the green onions and simmer for 2-3 more minutes.
Squeeze in the lime juice, and add more fish sauce, to taste.
Garnish with fresh cilantro and lime wedges, and serve over steamed rice, if desired.