No, you cannot use the extension however you can use an api using the Web component and then parse the json output.
Here are some possible API's (courtesy Gordon )
Weather
[@HEART12] Weather API - OpenWeatherMap
[@gordonlu310] API - MetaWeather
7Timer! - numerical weather forecast for anywhere over the world (doc language set to English)
Weather Mate
[free] (@Yash_Sehgal22's self made weather API extension)
AerisWeather API Documentation (aerisweather-aerisweather) | RapidAPI (from RapidAPI)
[@cafedev] Home page | Open-Meteo.com
that might be suitable for your Projet