Bring a large pot of salted water to a boil. Cook pasta according to package directions until al dente. Just before draining, reserve about 1 cup (240 ml) of the starchy pasta water, then drain the pasta.
While the pasta cooks, heat 1/2 tablespoon of olive oil in a large, heavy-bottomed skillet over medium heat. Add the pancetta and cook, stirring occasionally, until it is browned and crisp, about 5-7 minutes. Use a slotted spoon to transfer the pancetta to a plate, leaving the rendered fat in the skillet.
Season the chicken pieces with salt and pepper. Add them to the same skillet and cook until golden brown and cooked through, about 5-6 minutes. The internal temperature should reach 165°F (74°C). Transfer the cooked chicken to the plate with the pancetta.
Add the remaining 1/2 tablespoon of olive oil to the skillet if it looks dry. Add the shrimp in a single layer, seasoned with a little salt and pepper. Cook for 1-2 minutes per side, until they are pink and opaque. Fish is cooked when it reaches an internal temperature of 145°F (63°C). Remove the shrimp and add to the plate.
Reduce the heat to medium-low. Add the minced shallots and garlic to the skillet and cook until softened and fragrant, about 1-2 minutes, scraping up any browned bits from the bottom of the pan.
Pour in the white wine to deglaze the pan. Continue to scrape the bottom of the pan to release all the flavorful bits. Let the wine simmer and reduce by about half, which should take 2-3 minutes.
Stir in the heavy cream and bring to a gentle simmer. Cook for 3-5 minutes, allowing the sauce to thicken slightly. Reduce the heat to low and stir in the Parmesan cheese until it has melted and the sauce is smooth. Season with salt and pepper to your taste.
Return the cooked pancetta, chicken, and shrimp to the skillet with the sauce. Add the drained pasta and toss everything together to coat well. If the sauce is too thick, add a few tablespoons of the reserved pasta water until it reaches your desired consistency.
Divide the pasta among serving bowls. Garnish with fresh parsley and extra Parmesan cheese before serving.