Bring a small pot of water to a boil, carefully lower in the eggs, and simmer for 6 minutes and 30 seconds.
Transfer eggs to an ice bath for 5 minutes, then peel carefully.
In a small bowl, whisk together the tamari, rice vinegar, and honey; place the peeled eggs in the mixture to marinate for 10 minutes.
Heat the toasted sesame oil in a large skillet over medium-high heat.
Add the ground turkey, minced garlic, and grated ginger, seasoning with sea salt and black pepper.
Sauté the turkey until browned and cooked through, breaking it into small crumbles with a spatula.
Stir 1 tablespoon of the egg marinade into the turkey during the last minute of cooking for a flavor boost.
Place the warm jasmine rice in a bowl, top with the turkey, and add the halved jammy eggs.
Garnish with thinly sliced green onions and serve immediately.