Can we programmatically play,export .swf files in the ipad using Objective-C, if then could any one suggest the native or external library which supports this feature.
No, the iPhone SDK and iOS doesn't support Flash (well known fact :). There're several apps that convert Flash / Shockwave Flash Files to HTML(5) on the server side.
Stating the Apples Terms
An Application may not itself install or launch other executable code by any means, including without limitation through the use of a plug-in architecture, calling other frameworks, other APIs or otherwise. No interpreted code may be downloaded and used in an Application except for code that is interpreted and run by Apple's Published APIs and builtin interpreter(s).