Probably not, as you asked the question.
Typically, a default judgment is 'overturned' due to failures of the Plaintiff (improper service, wrong party, etc.) and not due to the failure of the defendant to put up a defense. Basically, most courts feel that (assuming the Defendant received proper notice, etc.) he/she had sufficient time to mount their defense at that time.
How do you define "at a later time"?? If it is still within the time allowed for appeal, you could use that as grounds for your appeal. However, if this time has passed and the judgment has been finalized, you probably won't have much success asking the court to re-open the case.