It may, but it won't if you still qualify as a dependent. The for agi deductions on education expense and the tax credits on educations are all limited so if you are not a dependent then even still you may max out the limitations with other expenses before you include the plane ticket.
I would say save the receipts for the plane ticket and documentation on why you went to the interview then when tax season comes around take it to your friendly neighborhood CPA.
I would also note that what I just said applies only to federal tax deductions, and your state may well have a deduction directly related to that expense, but again, you would probably not qualify if you are a dependent.