Depending on which type of Arthritis
you have, it certainly can.
If you have Rheumatoid Arthritis
, the degeneration that occurs can significantly effect the nerves that radiate through both sides of your lower body.
Even if you have OsteoArthritis, the same problem can occur, although this is usually less severe.
Rheumatoid Arthritis is actually the body attacking certain joints/ligaments. Usually this Arthritis occurs in many areas of the body.