Trim and thinly slice green onions on an angle, keeping white and green portions separate. Trim zucchini ends, halve lengthwise, and cut on an angle into 1/4" slices. Rinse steaks, pat dry, and season both sides with 1/4 tsp. salt and 1/4 tsp. pepper.

Bring a medium pot with rice, coconut milk, 3/4 cup water, white portions of green onions, and 1/2 tsp. salt to a boil over high heat. Reduce heat to low, cover, and cook until rice is tender, 18-22 minutes. Let rest 5 minutes, fluff grains with a fork, and keep warm. Some coconut fat may be left near surface of rice; stir gently to reincorporate for creamy rice. While rice cooks, roast zucchini.

Place zucchini on prepared baking sheet. Drizzle with 1 tsp. olive oil, and season with 1/2 tsp. salt and 1/4 tsp. pepper. Toss to coat and spread into a single layer. Bake until very tender and slightly browned, 16-18 minutes. While zucchini cooks, sear steaks.

Heat a medium non-stick pan over medium-high heat. Add 1/2 tsp. olive oil and steaks to hot pan. Cook until well-browned and steaks reach a minimum internal temperature of 145 degrees, 4-5 minutes per side.

Add jerk sauce and 2 Tbsp. water to pan and flip steaks a couple times to coat with sauce, 30 seconds to 1 minute. Incorporating a little water into sauce prevents it from reducing too quickly and burning. Remove steaks and sauce from pan and let rest 5 minutes before serving.

Place serving of rice and zucchini on a plate and garnish with green portions of green onions. Serve steak next to vegetables. Spoon jerk sauce over steak.