Could my Apple headphones be replaced or repaired?

Not if you caused the damage. Make an appointment at the Apple Genius Bar for service. If you need to find an Apple Store - Find a Store - Apple. Also, see How to find your nearest Apple Authorized Service Provider (AASP) or Distributor (AAD).

"Your Apple-branded or Beats-branded hardware product (“Product”) is warranted against defects in materials and workmanship for a period of ONE (1) YEAR from the date of original retail purchase (“Warranty Period”) when used in accordance with Apple`s user manuals (refer to www.apple.com/support/country). Under this warranty, you will be able to direct your claims to Apple even in situations where you purchased the Apple Product from a third party.” [Apple One (1) Year Limited Warranty – Accessory - For Apple and Beats Branded Products Only.]

You can buy these earphones new, I think they cost about 30 bucks, but I would seriously recommend buying from another brand as you can get much better earphones for this price. If you are absolutely deadset on buying the official Apple ones, just go to an Apple store or to their website and you should be able to find them fairly easily.