Answer
No — there's no manual, user-facing way to edit which fields appear on a Card. By design, a Card holds a deliberately limited amount of information, and its content can't be changed directly except through the commands available on the card itself; visibility of card content is instead controlled through the underlying entityset configuration rather than exposed as an end-user or even admin-configurable option, specifically to avoid an inconsistent or confusing card layout (particularly relevant for LOV-style card lists). If a specific field is genuinely needed on a Card, the realistic paths are requesting it from the relevant product team (since a future release could add it) or a genuine code-level customization — there's no supported configuration-only route to add or remove Card fields.