No. If the versions of reincarnation where your placement in your incarnation is the result of your past deeds (or trying to release the sense of guilt over those deeds), the incarnation itself is doing the work. Making things worse for the person might clear up their “karma” faster (using that term advisedly) so the vengeance aspect isn’t satisfied by making things worse for them.

I don’t think vengeance (“punishment”) is justice anyway. I think it’s important that we let state level actors know what terrible pieces of shit they are in this life. This gives them the opportunity to make some recompense in a way that might actually help the victims. Not that making George W. Bush spend the rest of his life feeding orphans in Iraq could possibly make up for what he’s done (note: every U.S. president who has served during my lifetime has been a war criminal; I just don’t feel like getting into an unrelated argument).

Ensuring justice (reputational and restorative) in this lifetime also discourages shitty behavior from others.