Sodium Chloride (NaCl) is the chemical name for common salt. You won't be able to make soap without lye - either Sodium Hydroxide (NaOH) or Potassium Hydroxide (KOH) . If you only use sodium chloride you will end up with a bowl of salty oil.
You can use sodium chloride (salt) to make salt bars or solseife soap but you would still need to use lye for the saponification reaction to take place and produce soap. You can also use salt (normally 1 tsp per pound of oil, or a bit more) dissolved in your water before you add the lye in order to make a harder bar of soap, but again you would still need to use lye.
No lye, no soap.