No, it will not. Hex's base power only doubles from 65 to 130 if the opponent has a major status condition (Burn, Paralysis, Freeze, Poison, Bad Poison, Sleep)
Source: http://bulbapedia.bulbagarden.net/wiki/Hex_(move)
http://bulbapedia.bulbagarden.net/wiki/Status_condition#Non-volatile_status