FPUS44 KMOB 252040 City Forecast for Destin, FL Issued Wednesday afternoon - Nov 25, 2009 .Wednesday night... Low 49, 5% chance of precipitation. .Thursday... Sunny, high 62, 5% chance of precipitation. .Thursday night... Low 46, 5% chance of precipitation. .Friday... Sunny, high 63. .Friday night... Low 45.