There is a possible scenario in which one recites only the b'racha of she'Asa nisim on neros Chanuka without the b'racha of l'hadlik ner. Does the opposite scenario exist, in which one says only l'hadlik ner and not she'Asa nisim?
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Although he rejects the conclusion, Rav Lichtenstein entertains the possibility that a blind person would be required to say the first bracha but not the second. http://vbm-torah.org/archive/halak66/16halak.htm
If you are the one that lights the Chanuka candles in Shul, according to some Poskim when you light at home you only say Lhadlik Ner. (Refrences later)