Can bruxism cause jaw deviation and can it heal on its own?

Usually other way around. Skeletal imbalance can result in altered function. See an Orthodontist to evaluate your skeletal symmetry and balance, as well s function.

Itis not uncommon for an evenly aproximated jaw alignment to cause discomfort in the natural jaw resting position and this can lead to a habitual clenching and grinding. So misalignment can cause bruxing. It does nor recover on its own. I recommend seeing an orthodontist and may be an oral surgeon. I hope that helps!