Bring broth and coconut milk to a boil in a medium saucepan over medium-high heat; add rice. Cover, reduce heat, and simmer 20 minutes or until liquid is absorbed. Remove from heat; keep warm.
Heat oil in a large nonstick skillet over medium-high heat. Add onion; sauté 5 minutes.
Reduce heat to medium. Add squash; cook 8 minutes or until tender, stirring occasionally. Stir in thyme and remaining ingredients; cook 3 minutes or until thoroughly heated, stirring occasionally. Add rice to squash mixture, stirring to combine.