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You know if you buy in the UK you get a free 3 warranty when you buy online as a student? Plus the discount is about 14% for a student. So the base 13" MBP is about £850 including a 3 year warranty. If you have just bought your MBP I would consider returning it and buying in the UK when you arrive.
If you can't do that then yes you can buy AppleCare here if you want. Students get a discount on that aswell, I believe it is ~£160 for the 13" MBP.