Slice the zucchini into half-medallions. Trim the ends and the string off the snow peas. Cut the bell pepper into slices.
Slice chicken into 3/4 inch strips.
In a wok or heavy-bottomed pan, heat peanut oil until just before smoking.
Add Thai chilis and curry paste to the pan. Cook for about a minute, stirring constantly, until fragrant.
Add 14-oz coconut cream to the pot. Bring to a boil and add chicken, stirring to combine. Cook for 10 minutes, monitoring the heat to make sure it doesn't boil over.
Add vegetables, kaffir lime leaves and bouillon, reducing heat as necessary. Cook for another 10 minutes.
Place palm sugar in a microwave safe dish and add 1/4 cup water. Microwave at 5-10 second intervals until the sugar dissolves entirely, about 1.5 minutes. Stir occasionally to break up the lumps.
After 10 minutes are up, remove curry from heat. Stir in dissolved sugar, juice from the lime wedges and fish sauce. Serve over rice. (Protip: add a little coconut oil to your rice as it cooks!)