is there anyway to make a sorcerer that uses light armor with melee weapons?
I tried doing that, but it just feels like a wizard with a few quirks.
Play a draconic sorcerer. Its scales are better than/equal +1 light armor. You might want to keep the Charisma, Con and Dexterity as high as possible. Drows should be proficient with rapiers. Twinned, maybe Quickened spell metamagic are your best friends.
Edit: Giths get shortsword proficiency + medium armor proficiency (superseding the draconic armor bonus) but at the cost of a bit lower charisma.