No. The Freshchat widget usually loads inside an iframe on your website. As the web messenger loads along with your website, the widget can't load if the website is down.
However, Freshchat will continue to work on the other channels where you've set up Freshchat — such as your social channels — which is where your customers will head to when your website or mobile app is down.
Supporting customers in multiple channels allows businesses to reach a wider audience and provides flexibility for customers to choose the communication method that is most convenient for them. This can improve customer satisfaction and loyalty. It also allows businesses to respond to customer issues more quickly, which can help to resolve problems and prevent negative experiences.