In a food processor, combine almond flour, tapioca flour, salt, and cold butter. Pulse until the butter is broken down into pea-sized pieces.
Add in the egg and honey, processing until the dough comes together around the blade.
Shape the dough into a round disk, wrap tightly in plastic wrap, and transfer to the refrigerator until cold—at least 2 hours or overnight.
Between two sheets of parchment or on a tapioca-floured work surface, roll out the dough to fit the size of a 9-inch pie tin, about a 12-inch circle.
Remove one sheet of parchment and invert the pie dough into your tin. Crimp the edges as desired.
Store the pie dough in the refrigerator while you prepare the filling.
Preheat the oven to 400°F and line a sheet pan with parchment paper.
Place half of the asparagus on the sheet pan. Cut the other half into 1-inch pieces and place on the roasting pan along with the thinly sliced potatoes. Drizzle with 2 teaspoons of olive oil, and season with ½ teaspoon of salt and ¼ teaspoon of black pepper, tossing to combine.
Spread the vegetables into an even layer and roast in the oven for 10 to 15 minutes, flipping the potatoes halfway through until they are just tender.
Meanwhile, in a small skillet over medium-high heat, heat more olive oil and add the onion, leek, swiss chard stems, and garlic. Cook until they begin to soften, about 5 to 8 minutes.
Add the swiss chard leaves and cook until wilted, about 1 minute.
In a large bowl, whisk together eggs, remaining salt and pepper, paprika, and garlic powder.
Transfer the pie plate from the fridge and place it on a rimmed baking sheet for easy handling.
Add the slightly cooled swiss chard mixture, roasted potatoes, and 1-inch asparagus pieces into the prepared pie dough. Pour the egg mixture over the veggies.
Decoratively place the full asparagus stems on top, gently pushing them into the egg mixture. Sprinkle the chives over the top.
Bake in the lower part of the oven for 40 to 50 minutes, or until the eggs are fully set and puffed up throughout.
Let the quiche cool for about 10 to 15 minutes before slicing and serving. Garnish with additional fresh chives if desired.