There are two ways, both of which require a corrupted target to gain their corruption: One is to cast Alleviate Corruption and intentionally fail the caster level check. Doing so will cause you to contract the corruption and gain a manifestation. Another is to cast Borrow Corruption, which will let you temporarily gain the stains and gifts of another person's corruption.
Other than that, all you can do is try to fulfill their catalyst or description's conditions. If you want to mechanically induce conditions for their catalyst, the following options should be available.
Accursed: Use Bestow Curse, or Greater variant. Bonus points for doing it as Changeling and/or Witch.
Diseased: Greater Contagion
Hellbound: Planar Ally/Binding and sign a contract with a Contract Devil
Psychometabolic: Contact Other Plane
Otherwise I reckon Limited Wish and Greater Bestow Curse could be used to obtain/inflict corruptions. There's no hard RAW to back that up, but they both let you invent your own wishes and curses.