Would lip filler even out my lips? (Photo)

Yes, lip fillers can be used to help correct or improve the appearance of asymmetric lips. Lip filler can be strategically injected to balance out the asymmetry and create a more harmonious appearance. Filler can be injected into the thinner lip to increase its volume and create a more balanced look. It can also be used to correct uneven lip lines or correct asymmetry in the Cupid's bow.

Thank you for your question and pictures.
In my opinion , beauty does not rely on perfect symmetry but rather on achieving balance and proportion among the different areas of the face. Using dermal fillers in the appropriate locations and layers can address your concerns and achieve a natural-looking balance and proportion in your face and lips. Facial fillers are an effective solution to address the imbalance you have described in your lips. Other option to address lip asymmetry include lip lifts, which adjust the positioning of the lips, However, these procedures are more invasive and require more downtime and recovery than fillers and also in my opinion you are NOT candidate for this last procedure.
I would advice to consult with a qualified and experienced doctor to discuss the best options for your individual needs and goals. They can evaluate your unique facial structure and provide personalized recommendations to help you achieve your desired results.
All the best,
Dr Giuseppe Fiore