Should I see a neurologist for calf pain and numbness in my foot?

You should see a neurologist for calf pain and numbness in the foot as these symptoms are suggestive of a pinched nerve in the lower back ("pinching" of the S1 nerve root commonly causes such symptoms).  A pinched nerve in the lower back is called a lumbar or lumbosacral radiculopathy and if left untreated can result in worsening low back and calf pain, persistent numbness of the foot and muscle weakness which manifests as the inability to stand on your toes.

Calf pain and foot numbness, if occuring in both feet, can be the presenting symptoms of a neuropathy.  Your neurologist can help determine the cause and treatment of neuropathy as to prevent worsening and disability.