Yes and No, depends on a couple of factors which are like getting into the semantics. however one can take info from the locals and other at Shimla before proceeding further towards Narkanda, as roads are cleared as soon as the snow falls but caution is advised. Your drivers experience and luck counts too !
Narkanda is a quaint town at Shimla district situated 9000m high. Surrounded by majestic hills, panaromic views this hill is a famous trekking spot too. Summers April to June, is an ideal time to visit this spot. You get to see breathtaking view of the quaint town, fresh greenery post winter. Some days are scorching followed by heavy downpours which cools the atmosphere. Summers are peak tourist season making it as a right time to travel. https://tripoto.page.link/9ExB5MyUiU5BRr718
Kindly check the above Tripoto link for more details.