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You can upgrade to the latest Apple is signing. You'll lose your jailbreak. But anything other than the latest, no.
 
Can the OP not simply just perform a restore via iTunes? It will remove the jailbreak however.

If he has an iPhone 4, he can save SHSH blobs, and make a custom IPSW
 
I would really advise against iOS 7 on an iPhone 4, My friends who did it ended up getting new phones because it made the 4 agonizingly slow!
 
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