Add the parmesan ingredients to a small spice grinder. Grind for a few seconds, until a parmesan-cheese-like texture is made. Set aside.
Fill a large pot of water and 2-3 pinches of salt. Place it on the stovetop over high heat.
Bring the large pot of salted water to a rolling boil.
Add in the noodles. Cook them according to the directions on the package, about 9-10 minutes. Once cooked, drain the pasta water, reserving a ¼ cup in a separate bowl, and set the paste aside.
Place a large skillet on the stove over medium-low heat. Add in the vegan butter.
Once hot, add in the garlic. Stir the mixture every few seconds, until the garlic is lightly golden brown.
Add in the coconut milk and pasta water. Bring it to medium heat and allow the sauce to come to a boil in 1-2 minutes, stirring every so often until the sauce is thickened.
Add in the cooked pasta, stirring to coat with sauce. Stir for another 2 minutes until fully coated.
Turn off the heat and sprinkle the vegan parmesan on top. Stir to combine, then serve!