Sure, there are a bunch of skilled surgeons out there that can fix your asymmetry. You can do bone surgery without making your face any slimmer
You don't have to do the whole v-line thing. Usually when doing v-line, people reduce their jaw and reposition or reduce chin, to achieve a v-line shaped face.
The surgeon will touch only your chin (and maybe a tiny bit of your front jaw if needed). They will definitely not touch your under ear jaw.
Do only the surgeries that you need, if clinics try to suggest you the whole v-line, they're just after your money. Because if you don't want to change anything about your jaw (so make it slimmer), you just don't need it. To me you already have a nice face shape
I'd say general genioplasty if you only want to fix the asymmetry, and mini v-line if you want a sharper chin or modify the shape of your chin aside from your asymmetry
Oh also by any chance, if you're want a smooth face line like the girl in the picture, they'd probably recommend v-line in that case. You can shave a tiny bit of bone and achieve a smooth line like her. Do think about it though haha