Place the egg in a small pot of boiling water for 7 minutes, then transfer to an ice bath, peel, and slice in half.
Cook the soba noodles in a separate pot of boiling water according to package directions, then drain and set aside.
In a medium saucepan over medium-high heat, brown the ground pork with minced garlic and grated ginger until fully cooked.
Pour the chicken broth, coconut aminos, and sriracha into the pan with the pork and bring to a gentle simmer.
Add the sliced shiitake mushrooms and chopped baby bok choy to the broth, cooking for 2-3 minutes until the greens are wilted.
Season the soup with sea salt and black pepper to taste.
Place the cooked noodles in a deep bowl, ladle the hot pork and broth over them, and garnish with the boiled egg, sesame oil, and sliced green onions.