Nope, we can only hope this becomes available eventually. ZOS said that storage in housing is not a priority because only a very small minority of players have maxed their bank and inventory capacities.
Maybe only 3% have maxed out their bank and inventory capacities, but probably 97% would buy storage for their house(s).
I also think that "3%" figure is highly misleading. I believe a much higher percentage have "very nearly" maxed out their bank and inventory capacities and maybe either just haven't fed their horse that last couple of times or just don't want to spend the crowns or gold on those last ten slots.
Not being able to put things in chests, wardrobes, barrels and such really makes this games "housing" feel worse than the system in Skyrim. Hell, it even feels worse than the "housing" in Oblivion.