Can I fix this asymmetric eye without surgery and what are my options? (Photo)

Your left brow is significantly elevated compared to the right side. This is likely due to compensation for a droopy eyelid on the left side, which is currently masked by the brow lifting.
You need an in person evaluation to determine whether an eyelid ptosis repair is indicated, but I do not recommend any thread lifting. Botox can weaken your forehead muscle on the left which will improve you asymmetry, but that is not a long lasting solution, and will also affect your ability to compensate for your droopy eyelid. You need an evaluation by an experienced Oculofacial Plastic Surgeon (Oculoplastics).
Virtual consultations are available to get you started.

Asymmetry can come from either your bone structure or muscle imbalances. Botox and fillers can be used to even out your face. You may ask for botox, fillers, and PDO. A combination of all may be attempted to correct the asymmetry. Please contact a qualified provider with extensive experience in these procedures.