Of course that will be a problem. If you register an account, and use a different name and address than how it is in reality, it will be seen as a suspicious act. If it's just a typo, then they will be helping you out for sure, but I don't think they will be too pleased to help out if you on purposely registered with faulty information. If you sign up for an account, you agree with their terms, which due to all governmental regulations have been far stricter than ever before. Unless you have a damn good story to back up your words, it will be a difficult task for both involved parties. One thing however is sure, and that's regardless of your situation, it will take quite some time for Bittrex to solve this matter.