Hey! Sorry, did not see the description. You can fix it but it will require some soldering. There is an ok video on how to do this here:
http://www.youtube.com/watch?v=8iWU-x0ZpAw
And you can buy the part here:
http://www.amazon.com/Ipod-Touch-Headphone-Audio-Replacement/dp/B00450DDDM
ifixit doesn't seem to carry 2nd gen ipod parts. This is a fairly difficult repair and if you have no experience soldering, I would not recommend attempting it.