Transfer student Apple Care to another user
Yes, you can transfer AppleCare to another person subject the terms and conditions in the location you live.  Whether this is a student-purchase or not doesn't make a difference.

You didn't mention the country you live so I'll assume you're in the US for this info.  (you'll need to look-up the T&amp;C's for your own country if not in the US).

Here's a snippet from Apple's AppleCare T&amp;C for a Mac.  It tells you how to transfer the AppleCare to someone else.:


  10. Transfer of Plan.
  
  Subject to the restrictions set forth below, you may make a one-time
  permanent transfer of all of your rights under the Plan to another
  party, provided that: (a) you transfer to the other party the original
  proof of purchase, the Plan's Confirmation, the Plan’s printed
  materials and this service contract; (b) you notify Apple of the
  transfer by sending, faxing or e-mailing notice of transfer to Apple
  Inc., ATTN: Agreement Administration, MS: 217-AC, 2511 Laguna Blvd,
  Elk Grove, CA 95758, U.S., fax number 916-405-4175 or
  agmts_transfer@apple.com, respectively, and (c) the other party
  accepts the terms of this service contract. When notifying Apple of
  the transfer, you must provide the Plan Agreement Number, the serial
  number of the Covered Equipment, and the name, address, telephone
  number and email address of the new owner.


Make sure you follow a, b, and c to correctly perform the transfer.  Keep a record of what you send to Apple and how they respond back to you.