Just dropped my mac, speakers broke?
Yes, this is easily repairable. The speakers are relatively cheap. PBM sells them for $15 USD: http://www.powerbookmedic.com/MacBook-Air-11-Left-Speaker-p-22393.html (I have used them in the past for parts and highly recommend).

You can then hope to iFixit for a teardown of your MBA: http://www.ifixit.com/Guide/Replacing+MacBook+Air+11-Inch+Mid+2011+Left+Speaker/6312/1

Note that the MBA is actually as moderate difficulty in repairing (by iFixit), so if you are a klutz, you may elect to have someone else do the repair for you. Also, I have used general searches for your MBA model (based on the limited information you have provided), so you should ensure the parts are the exact ones you need and not go simply on my links above.