No, to be honest getting rid of Mites permanently is almost impossible. Once they infect a tree or plant most people just try and limp along with treatments. I have tried a lot of things and the only thing that I have ever found that eliminates them permanently (unless they are re exposed by an outside source) is a Miticide. They are expensive, but one bottle can keep a Bonsai enthusiast well supplied for 10 years, since it takes so little to do the job.
This is what I use, and follow the safety directions to a T, including dosage.
www.forestrydistributing.com/en/avid-015...miticide-insecticide
This is a systemic product, which means it is absorbed into the cell walls and for 60 days after application it is in effect. Mites have a 3 day life cycle, so even if you killed every mite on the tree, 3 days later new ones would hatch from the soil. So 3 days after application, the mites will leave the soil and bite into the leaf and be killed because the product is in the cell walls. This is how the elimination happens long term.
When I spray my plants I soak the entire thing, the leafs, trunk, soil and pot. I also spray any trees near by that may be infected, so not to reinfect at a later date. Note: this is for ornamental use only, so no fruit bearing trees or plants. If a fruit bearing tree or plant is sprayed it must not be harvested for 60 days.