Using the 3-mm blade of a spiralizer, spiralize the 2 large zucchini. Place the zoodles in a fine-mesh strainer set over a large bowl, sprinkle with a pinch of salt, toss to combine, and let sit 10 minutes to release moisture.
While the zoodles are sitting, heat 1 1/2 teaspoons olive oil in a large skillet over medium heat. Add the 3/4 cup chopped rhubarb and 1/2 teaspoon minced fresh ginger and cook, stirring occasionally, until the rhubarb softens and begins to brown, about 2–3 minutes.
Add the 8 ounces cubed chicken breast to the skillet and cook, stirring occasionally, until the outside is golden brown, about 4–5 minutes.
Pour in 1/2 cup orange juice, add 4 teaspoons honey, the lime zest from 1 large lime, the juice from half a large lime, and a pinch of salt. Reserve the remaining 2 teaspoons orange juice for finishing.
Turn the heat to high and bring the mixture to a boil for 1 minute, stirring. Reduce the heat to medium and simmer, stirring frequently, until the sauce thickens and the chicken is cooked through, about 4–5 minutes.
While the sauce simmers (or immediately after), press the zoodles to remove excess water: transfer them from the strainer onto a layer of paper towels, cover with another paper towel, and firmly press to extract as much moisture as possible.
Divide the pressed zucchini noodles between two plates. Drizzle 1 teaspoon of the reserved orange juice over each pile and sprinkle 1 teaspoon of the minced fresh mint on each.
Divide the chicken and orange sauce evenly over the two piles of zoodles. Top each plate with half of the 1/2 cup sliced strawberries and half of the 2 tablespoons toasted slivered almonds.
Toss or mix each plate to combine and serve immediately.