Place the olive oil and the bacon in a pan and cook until the bacon is tender.
Add the garlic to the bacon and cook for 1 minute.
Add the heavy cream and bring to a simmer.
Add the pasta, grilled chicken, and peas, and return to a simmer.
* In a separate bowl, whisk the egg, cheese, and parsley together.
Add the egg mixture to the pasta and whisk in over very low heat.
Season with salt and pepper.