Since fin rot is mainly a gram-negative infection, and Melafix is not effective against gram negative bacteria, then no.
See http://www.americanaquariumproducts.com/AquariumMedication4.html
If you don't have a UV filter I personally would do daily 25% water changes until the other fish are recovered. ( Like doing daily dressings on an infected wound - you're trying to remove the bacteria if present. ) And watch carefully for any signs of stress.