I have a kendo chart with the remote data. Is it possible to export the chart to png or pdf format
It is possible if you use some third-party tool such as InkScape. The latter can convert SVG (the Kendo UI Chart native format) to pretty much anything else including PNG and PDF. You can use the svg method of the chart to get the underlying SVG and then send it to a remote service.
Here is an ASP.NET MVC application which shows how: https://github.com/telerik/kendo-examples-asp-net/tree/master/chart-inkscape-export