a lotta fuzz will come through, its an easy soddering job if you have a soddering iron, or bring it into GC, it is a 1 minute fix
You need a soldering iron and some solder. Push one broken part against the other, put the solder over the crack and tip it with the edge of the hot soldering iron. Something like that, I haven't done it for a few years. You need a damp sponge to clear the solder off the edge of the iron when you're done.
Founder of Jaco society

[22:08:23] <Confusius> I wish I was a bassist
[22:08:26] <Confusius> you fuckers look cool

Want to know how to play bass in jazz? Read this.
you should have it fixed. it won't hurt the bass, but if you touch another electrical source, such as a microphone, while touching your strings. you could get a nasty shock. not to scare you, but people have died from it.