No, I don't believe they're related either, but... the Wish spell is a very powerful magic, where I'm from. Only very powerful mages can cast it, and even then it's incredibly risky...

Even if this purchase from the Prison Shop isn't the same spell, per se, I would caution your friend around using it. Or at least... make sure they're prepared. Any magic that's powerful enough to affect worlds shouldn't be taken lightly... Though I'm sure everyone's being careful!