  We construct a purely fermionic system with spontaneously broken
supersymmetry that shares the common feature with a fracton phase of matter.
Our model is gapless due to the Nambu-Goldstone mechanism. It shows a
ground-state degeneracy with the "Area-law" entropy due to fermionic subsystem
symmetries. In the strongly coupled limit, it becomes a variant of the Nicolai
model, and the ground-state degeneracy shows the "Volume-law" entropy. Gauging
the fermionic subsystem symmetry has an t'Hooft anomaly by itself, but the
would-be gauged theory may possess a fermionic defect that is immobile in
certain spatial directions.
