Absolutely Not!!
406.8(C) Bathtub and Shower Space. A receptacle shall not be installed within a bathtub or shower space.
550.13(F) Receptacle Outlets Not Permitted. Receptacle outlets shall not be permitted in the following locations:
(1) Receptacle outlets shall not be installed in or within reach [750 mm (30 in.)] of a shower or bathtub space.
552.41(F) Receptacle Outlets Not Permitted.
(1) Shower or Bathtub Space. Receptacle outlets shall not be installed in or within reach [750 mm (30 in.)] of a shower or bathtub space.