Not with Azure Maps. You could import data from NOAA and do a spatial join on your address data in a database, and then add a property to each address, then display those addresses on a map in Power BI. Woth the Azure Maps visual in Power BI you could then overlay a weather layer https://learn.microsoft.com/en-us/azure/azure-maps/power-bi-visual-add-tile-layer If you don't mind regularly updating your report, you could load the hurricane track GeoJSON file as a reference layer into the map.
https://learn.microsoft.com/en-us/azure/azure-maps/power-bi-visual-add-reference-layer?tabs=upload