not exactly. climate is more general than weather
weather:The state of the atmosphere at a given time and place, with respect to variables such as temperature, moisture, wind velocity, and barometric pressure.
climate:The meteorological conditions, including temperature, precipitation, and wind, that characteristically prevail in a particular region.
also climate : the weather in some location averaged over some long period of time; "the dank climate of southern Wales"; "plants from a cold clime travel best in winter"