How can you remove a cataract without surgery?

Unfortunately not. N-acetylcarnosine (NAC) in small studies showed improve vision in cataract patients. However, it has not been studied in double blind, randomized, prospective way & studies were paid for by company who has vested interest. It is not FDA approved. Likely sun protection & eating a diet rich in antioxidants is just as good; so there is still not enough proof. More info at: eyedoc2020@blogspot.com.
You can't. Cataract surgery is the only way to remove cataracts. You can prevent rapid progression by wearing sunglasses and hats to avoid ultraviolet light. If you are a smoker, one more reason to quit!