In a large bowl, place the jackfruit. using 2 forks, pull the pieces of jackfruit apart until they resemble shreds. Set aside.
In a large skillet, warm the oil over medium heat. Add the onion and jalapeño pepper and sauté until the onion is soft and translucent, about 5 to 6 minutes.
Add the shredded jackfruit and cook, stirring occasionally, until the edges are browned and crispy, about 8 to 10 minutes.
Add the tamari, chili powder, cumin, oregano, and salt. Stir and cook until fragrant, about 1 minute.
Add the BBQ sauce, stir to combine, and cook until heated through, about 2 to 3 minutes.
Wrap the tortillas in slightly damp paper towels and heat in the microwave in 30-second increments until warm.
To serve, place 2 to 3 tablespoons of the jackfruit mixture on each tortilla and garnish with the toppings of your choice.