Hi, embsw.
to ATP!
Some of my upright sedum do this too; likely because I have them in a mixed border where there's probably more moisture and less sun than they'd prefer. I wouldn't think you'd need to stake it unless that's all there is to the plant. Sedum root very easily, and you might just clip this piece off and stick it in the ground where you'd like a new plant.
Lynn, (
@valleylynn ) is one of our resident sedum experts; perhaps she might be able to give you some extra advice.