Cook the pasta according to the package directions. Reserve ¼ cup of the cooking water; drain the pasta and return it to the pot.
Meanwhile, heat broiler. Place the peppers on a baking sheet skin-side up and broil until blackened, 8 to 10 minutes.
Scrape the charred skin from the peppers with a paring knife and wipe clean with paper towels.. Cut the flesh into 1-inch pieces.
Add the peppers, olives, almonds, oil, thyme, 2 tablespoons of the reserved cooking water, ½ teaspoon salt, and ¼ teaspoon black pepper to the pasta and toss to combine (add more cooking water as needed to loosen the sauce).
It is easier to put the peppers in a brown paper bag for a few minutes after charring. The skin slips right off, without scraping.