Make the soy curls first. Once you have soaked and drained the soy curls, squeeze as much liquid out of them as you can. Then heat the olive oil on medium-high in a large non-stick pot.
Add the soy curls to the pot and sprinkle them with the cumin, paprika, and a pinch of salt and pepper. Toss to coat and saute the soy curls until golden brown, reducing the heat as needed. This will take about 10 minutes.
Remove the soy curls from the pot and set aside. Heat the remaining olive oil for the chili in the pot on medium-high heat.
Add the onion, garlic, poblanos, cumin, paprika, chili powder, and a pinch of salt and pepper to the pot. Sauté, reducing heat as needed, until the onion is translucent. About 3-5 minutes.
Pour the vegetable broth, vegan cream, beans, and salsa into the pot. Stir to combine. Bring to a simmer, reduce the heat to medium-low, and simmer for 5-10 minutes.
Add the vegan cheese, stir to combine, and let it melt into the chili. Taste and adjust seasonings, adding more salt and pepper if needed.
Pour the soy curls back into the pot and let them heat in the chili for 2-3 minutes.
Serve with desired toppings!