Can people recieve disability for foot drop?

No. A foot drop can be compensated for by an orthotic device. It may not even be a medically definable impairment, and if it were, it would probably be rated non-severe.
You should not. Patients with foot drop are often able to recover, or wear a brace to accommodate for their weakness. The vast majority are capable of working fulltime and lead productive, quality lives.
Possibly. It depends on the cause of the foot drop. If it is from a nerve that is permanently damaged you could qualify. If it is from a condition that can be rehabilitated, probably not. It also depends on whom that disability is from.