I want Electrike to be part of my team in Pokemon X but I'm not sure if there is a way to get in without trading with someone else who has Pokemon Y.
You can find a Manectric in an Electric Friend Safari, which you can breed for an Electrike, but you need a Friend Code that has it. The Safari is only available after the E4 though.
Find Friend Codes here: http://pokemondb.net/pokebase/meta/39716/friend-safari-page-x-y