Peel and cube the Kent pumpkin, then steam or boil until tender, about 10-12 minutes.
Drain the pumpkin well and smash it with a fork or masher until smooth, seasoning with a pinch of sea salt.
While pumpkin cooks, trim the green beans and cut them into 1-inch pieces.
In a skillet over medium heat, add the olive oil and sauté the diced yellow onion and minced garlic until translucent.
Add the extra lean ground beef to the skillet, breaking it up with a spoon, and cook until browned.
Stir in the green beans, dried thyme, sea salt, and black pepper, cooking for 5 minutes until beans are tender-crisp.
Transfer the beef and bean mixture into a small oven-safe baking dish, pressing it down into an even layer.
Spread the smashed pumpkin over the top of the beef mixture and sprinkle with the dairy-free shredded cheese.
Place under the broiler for 3 to 5 minutes until the cheese is melted and the pumpkin edges are slightly golden.