Add all ingredients except zucchini, pasta, and kale to the pressure cooker pot.
Set the manual cook time for 30 minutes on high pressure.
Do a quick pressure release.
Remove the chicken breasts from the pot. Hit the saute button. Add the zucchini, pasta, and kale to the pot. Use a fork to pull the chicken off the bones. Chop or shred the meat and return it to the pot.
Continue to saute until the zucchini and pasta are cooked.
Season with salt and pepper. Top each bowl with Parmesan, if desired.