It is possible to move partners to another category, simply by dragging and dropping the partner card into the desired category.
Alternatively, you can click on the options button on a partner's card and select Move to. From the resulting list of categories, select the category for moving the partner to the desired category.

Caution
When moving a partner to another category, configurations of that category will apply.
However, if a partner has already been assigned offer capacity, it will not be possible to move the partner to another category.