REALITIES
“Is it pathetic to ask for another chance after a breakup?”

No, not necessarily. But this may depend on the circumstances of the breakup and of the relationship itself.
If the breakup was due to something you think can be fixed, like a miscommunication or a mistake, and the relationship was good before then, it may be worth trying to reconcile and asking for another chance.
But, if the breakup was totally opposite of that and was due to something more serious, like a betrayal of trust or something, and the relationship had been growing increasingly toxic, asking for another chance may not be a good idea.
Ultimately, the choice to seek another chance is highly personal. But you shouldn’t only think about your feelings — think about how it will affect your ex. Take a careful look at the circumstances and see if your efforts won’t cause either of you more and unnecessary stress.