The answer is *yes* - some 30 years ago my father persuaded me to illegally
import cuttings of oleander from Germany to the UK because he couldn't get
them here (still haven't seen any oleander in the UK!) - they grew
fantastically once rooted - just needed bringing in during the winter.

Can you grow Oleander bushes from their clipping stems, putting them in
water? Will they root, and be able to be transplanted? I'm looking for a
cheap way to add shrubbery.

TIA