Multiverse Explorer
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Yes. Open the character's detail screen and look for the re-roll option next to its portrait — for one credit, Multiverse Explorer generates a brand-new piece of art for that same character, keeping its name, role, and story exactly as they are.
This is different from re-rolling a locked character, which swaps out the role and story for a new one before you've spent anything to unlock it. Re-rolling art only ever touches the image on a character you already own.