Combine chicken, broth, carrots, celery, corn, onion, salt, garlic powder, onion powder, black pepper, poultry seasoning, and thyme in a multi-functional pressure cooker (such as Instant Pot). Close and lock the lid. Select high pressure according to manufacturer's instructions; set timer for 10 minutes. Allow 10 to 15 minutes for pressure to build.
Release pressure using the natural-release method according to manufacturer's instructions, about 10 minutes. Release remaining pressure carefully using the quick-release method, about 10 minutes more. Unlock and remove the lid.
Stir in cream and peas. Select the Sauté function. Cook until thickened, 2 to 3 minutes.