Yep! Even those animal classes from the latest games are accepted. 

[url=http://www.roleplayerguild.com/topics/90368-fire-emblem-a-tale-of-two-swords/ooc]There's a full list of the classes you can choose from here[/url]

In any case, the only classes accepted are from Awakening, Fates and the Laguz classes. You can also make your own class, as long as it is reasonable enough.