It is possible. Pineapple sage, I am guessing, is about as hardy as
rosemary (Zone 8 is the limit). Neither will grow in an unheated room,
so once stripped of greenery it should go dormant.
A third option is to plant outside in the ground and give it the fig
treatment ( bury it under a mound of leaves). In this case, too,
stripping the greenery is preferrable.