# Python 3, 79 bytes:
   
    import re
    lambda s:any(re.findall(('.'*i).join('nice'),s)for i in range(len(s)))


[Try it online!](https://tio.run/##bY1BCsIwEEX3PUV2yYh040YEb@ImphMdSSdhGqHt5WMqiET8u/94fyYt@R75cExSaExRshLs/PlSgh2vg1XTyfJiBHtPPNgQjNG93hH0j0hsNJNDDfsJfBRFiliJ5RuagGwmAChJiLPxHxO6L4i0umfL7JbNXGtau1KH2OpzO766phP/fnzf@IPmFiZBV8e5wvIC)